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Estimation

linear-demand linear-cost, \(\sigma = 1\)

\(\theta = 0.05\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.817 1.000 7.959 9.580 15.288
α_1 100 0 −0.825 0.857 −3.413 −0.766 1.470
α_2 100 0 −0.110 0.081 −0.348 −0.109 0.105
α_3 100 0 0.979 0.217 0.494 0.962 1.691
γ_0 100 0 1.370 1.290 −2.482 1.366 5.005
γ_1 100 0 1.550 0.839 0.177 1.404 4.340
γ_2 100 0 0.965 0.178 0.530 0.968 1.431
γ_3 100 0 0.974 0.189 0.532 0.973 1.410
θ 100 0 0.321 0.412 0.000 0.060 1.000
sd_α_0 100 0 0.474 0.165 0.166 0.433 1.164
sd_α_1 100 0 0.962 0.249 0.468 0.899 1.944
sd_α_2 100 0 0.096 0.025 0.046 0.089 0.195
sd_α_3 100 0 0.192 0.056 0.074 0.182 0.484
sd_γ_0 100 0 1.037 0.368 0.400 0.974 2.503
sd_γ_1 100 0 1.999 3.799 0.177 0.872 28.537
sd_γ_2 100 0 0.035 0.008 0.020 0.033 0.060
sd_γ_3 100 0 0.040 0.008 0.026 0.039 0.072
sd_θ 100 0 0.101 0.035 0.040 0.094 0.242
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.978 0.748 8.375 9.847 12.592
α_1 100 0 −0.829 0.670 −2.707 −0.745 0.830
α_2 100 0 −0.116 0.061 −0.304 −0.113 0.056
α_3 100 0 0.999 0.167 0.570 0.990 1.613
γ_0 100 0 0.999 1.065 −2.634 0.910 3.098
γ_1 100 0 1.477 0.705 0.411 1.328 3.962
γ_2 100 0 0.999 0.162 0.667 1.007 1.493
γ_3 100 0 1.000 0.153 0.702 0.972 1.362
θ 100 0 0.191 0.296 0.000 0.000 1.000
sd_α_0 100 0 0.242 0.062 0.129 0.228 0.443
sd_α_1 100 0 0.479 0.094 0.304 0.477 0.787
sd_α_2 100 0 0.048 0.009 0.030 0.047 0.077
sd_α_3 100 0 0.094 0.022 0.054 0.091 0.188
sd_γ_0 100 0 0.534 0.130 0.281 0.525 0.988
sd_γ_1 100 0 0.665 0.776 0.170 0.419 5.562
sd_γ_2 100 0 0.018 0.003 0.011 0.018 0.028
sd_γ_3 100 0 0.019 0.003 0.014 0.019 0.026
sd_θ 100 0 0.052 0.013 0.027 0.051 0.098
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.973 0.410 9.143 9.948 10.873
α_1 100 0 −0.947 0.358 −1.842 −0.932 −0.030
α_2 100 0 −0.104 0.034 −0.204 −0.103 −0.028
α_3 100 0 0.998 0.103 0.757 0.985 1.293
γ_0 100 0 0.958 0.724 −0.897 1.112 2.611
γ_1 100 0 1.409 0.510 0.584 1.285 3.355
γ_2 100 0 0.999 0.105 0.780 0.996 1.251
γ_3 100 0 1.009 0.101 0.825 0.992 1.332
θ 100 0 0.147 0.246 0.000 0.000 1.000
sd_α_0 100 0 0.118 0.017 0.080 0.119 0.150
sd_α_1 100 0 0.237 0.030 0.175 0.236 0.299
sd_α_2 100 0 0.024 0.003 0.018 0.024 0.030
sd_α_3 100 0 0.046 0.006 0.033 0.046 0.061
sd_γ_0 100 0 0.271 0.053 0.172 0.265 0.463
sd_γ_1 100 0 0.288 0.155 0.112 0.263 1.105
sd_γ_2 100 0 0.009 0.001 0.006 0.009 0.012
sd_γ_3 100 0 0.010 0.001 0.007 0.010 0.014
sd_θ 100 0 0.027 0.005 0.016 0.026 0.046
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.997 0.199 9.646 9.993 10.439
α_1 100 0 −0.995 0.169 −1.359 −0.983 −0.621
α_2 100 0 −0.101 0.018 −0.140 −0.101 −0.067
α_3 100 0 1.001 0.046 0.901 0.994 1.106
γ_0 100 0 1.013 0.310 0.045 1.050 1.729
γ_1 100 0 1.190 0.185 0.919 1.138 1.989
γ_2 100 0 0.999 0.050 0.889 0.993 1.152
γ_3 100 0 0.999 0.042 0.875 1.000 1.110
θ 100 0 0.048 0.088 0.000 0.000 0.484
sd_α_0 100 0 0.023 0.002 0.019 0.024 0.027
sd_α_1 100 0 0.047 0.003 0.042 0.047 0.053
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.009 0.001 0.008 0.009 0.010
sd_γ_0 100 0 0.053 0.004 0.044 0.053 0.068
sd_γ_1 100 0 0.053 0.010 0.034 0.051 0.080
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.007
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.146 9.640 9.993 10.428
α_1 100 0 −1.012 0.118 −1.274 −1.016 −0.683
α_2 100 0 −0.099 0.011 −0.124 −0.099 −0.073
α_3 100 0 1.000 0.037 0.909 1.002 1.081
γ_0 100 0 1.065 0.194 0.620 1.067 1.469
γ_1 100 0 1.146 0.117 0.959 1.116 1.534
γ_2 100 0 0.993 0.030 0.926 0.991 1.072
γ_3 100 0 0.996 0.025 0.931 0.995 1.060
θ 100 0 0.034 0.058 0.000 0.000 0.225
sd_α_0 100 0 0.012 0.001 0.010 0.012 0.014
sd_α_1 100 0 0.023 0.001 0.022 0.023 0.026
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.005 0.000 0.004 0.005 0.005
sd_γ_0 100 0 0.026 0.001 0.023 0.026 0.030
sd_γ_1 100 0 0.026 0.003 0.020 0.026 0.037
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.080 9.808 10.004 10.179
α_1 100 0 −1.000 0.075 −1.214 −0.995 −0.819
α_2 100 0 −0.100 0.007 −0.117 −0.101 −0.080
α_3 100 0 1.000 0.021 0.950 0.999 1.063
γ_0 100 0 1.028 0.145 0.673 1.041 1.392
γ_1 100 0 1.105 0.053 0.994 1.094 1.263
γ_2 100 0 0.997 0.021 0.936 0.997 1.042
γ_3 100 0 0.998 0.019 0.963 0.995 1.055
θ 100 0 0.007 0.018 0.000 0.000 0.088
sd_α_0 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_1 100 0 0.009 0.000 0.009 0.009 0.010
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.011 0.000 0.010 0.010 0.011
sd_γ_1 100 0 0.010 0.001 0.009 0.010 0.013
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.059 1.165 7.650 9.738 14.910
α_1 100 0 −1.176 1.935 −7.462 −1.278 3.982
α_2 100 0 −0.490 0.207 −1.534 −0.465 −0.124
α_3 100 0 0.985 0.246 0.477 0.942 1.737
γ_0 100 0 1.146 1.576 −7.256 1.293 3.647
γ_1 100 0 2.028 1.989 −0.503 1.617 10.038
γ_2 100 0 0.983 0.233 0.555 0.978 1.923
γ_3 100 0 1.000 0.246 0.410 0.970 2.255
θ 100 0 0.137 0.261 0.000 0.000 1.000
sd_α_0 100 0 0.669 0.230 0.311 0.594 1.716
sd_α_1 100 0 3.011 0.704 1.654 3.001 4.930
sd_α_2 100 0 0.309 0.070 0.171 0.303 0.534
sd_α_3 100 0 0.254 0.066 0.097 0.238 0.468
sd_γ_0 100 0 1.062 0.391 0.401 1.050 2.947
sd_γ_1 100 0 1.861 1.549 0.374 1.536 12.023
sd_γ_2 100 0 0.035 0.010 0.016 0.034 0.078
sd_γ_3 100 0 0.040 0.008 0.025 0.038 0.064
sd_θ 100 0 0.104 0.039 0.035 0.103 0.298
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.954 0.651 8.636 9.896 11.753
α_1 100 0 −1.072 1.230 −3.562 −1.047 1.860
α_2 100 0 −0.486 0.131 −0.855 −0.479 −0.170
α_3 100 0 1.000 0.157 0.639 0.996 1.408
γ_0 100 0 1.069 0.897 −1.477 1.207 2.717
γ_1 100 0 1.683 1.039 0.151 1.402 6.532
γ_2 100 0 0.998 0.133 0.758 1.002 1.473
γ_3 100 0 0.994 0.136 0.639 1.001 1.337
θ 100 0 0.076 0.156 0.000 0.000 1.000
sd_α_0 100 0 0.309 0.060 0.185 0.302 0.582
sd_α_1 100 0 1.407 0.214 0.937 1.410 2.002
sd_α_2 100 0 0.145 0.022 0.103 0.146 0.205
sd_α_3 100 0 0.119 0.019 0.080 0.118 0.180
sd_γ_0 100 0 0.513 0.119 0.229 0.514 0.856
sd_γ_1 100 0 0.751 0.279 0.260 0.726 1.850
sd_γ_2 100 0 0.017 0.003 0.012 0.017 0.027
sd_γ_3 100 0 0.019 0.003 0.013 0.019 0.024
sd_θ 100 0 0.050 0.012 0.022 0.050 0.081
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.044 0.566 8.881 10.032 11.537
α_1 100 0 −1.174 1.117 −4.438 −0.994 1.140
α_2 100 0 −0.489 0.121 −0.754 −0.496 −0.227
α_3 100 0 1.002 0.118 0.800 0.995 1.399
γ_0 100 0 1.113 0.689 −0.901 1.116 2.849
γ_1 100 0 1.572 0.730 −0.178 1.432 3.678
γ_2 100 0 0.989 0.105 0.768 0.990 1.320
γ_3 100 0 0.990 0.103 0.721 0.984 1.301
θ 100 0 0.055 0.082 0.000 0.000 0.394
sd_α_0 100 0 0.151 0.023 0.107 0.148 0.209
sd_α_1 100 0 0.703 0.091 0.529 0.686 0.984
sd_α_2 100 0 0.072 0.009 0.054 0.070 0.099
sd_α_3 100 0 0.059 0.008 0.046 0.059 0.079
sd_γ_0 100 0 0.255 0.046 0.156 0.252 0.351
sd_γ_1 100 0 0.384 0.147 0.189 0.337 1.130
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.013
sd_θ 100 0 0.025 0.004 0.016 0.025 0.034
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.175 9.584 10.020 10.482
α_1 100 0 −1.003 0.360 −1.761 −0.995 −0.058
α_2 100 0 −0.501 0.041 −0.596 −0.497 −0.418
α_3 100 0 1.004 0.044 0.928 1.001 1.117
γ_0 100 0 1.080 0.240 0.409 1.099 1.768
γ_1 100 0 1.319 0.254 0.954 1.302 2.079
γ_2 100 0 0.990 0.040 0.880 0.988 1.103
γ_3 100 0 0.986 0.040 0.879 0.987 1.080
θ 100 0 0.014 0.035 0.000 0.000 0.204
sd_α_0 100 0 0.030 0.002 0.026 0.030 0.034
sd_α_1 100 0 0.137 0.006 0.126 0.137 0.164
sd_α_2 100 0 0.014 0.001 0.013 0.014 0.017
sd_α_3 100 0 0.012 0.001 0.010 0.012 0.013
sd_γ_0 100 0 0.050 0.004 0.042 0.050 0.067
sd_γ_1 100 0 0.068 0.009 0.050 0.067 0.097
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.007
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 0.137 9.681 9.998 10.394
α_1 100 0 −0.991 0.228 −1.556 −1.004 −0.396
α_2 100 0 −0.503 0.027 −0.568 −0.503 −0.432
α_3 100 0 1.005 0.031 0.929 1.009 1.097
γ_0 100 0 1.088 0.211 0.553 1.090 1.614
γ_1 100 0 1.268 0.185 0.856 1.276 1.822
γ_2 100 0 0.991 0.034 0.923 0.988 1.091
γ_3 100 0 0.990 0.033 0.916 0.990 1.064
θ 100 0 0.008 0.018 0.000 0.000 0.082
sd_α_0 100 0 0.015 0.001 0.013 0.015 0.017
sd_α_1 100 0 0.069 0.002 0.063 0.069 0.076
sd_α_2 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_3 100 0 0.006 0.000 0.005 0.006 0.006
sd_γ_0 100 0 0.025 0.002 0.021 0.025 0.030
sd_γ_1 100 0 0.034 0.003 0.026 0.034 0.042
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.089 9.823 10.002 10.274
α_1 100 0 −1.009 0.192 −1.425 −1.023 −0.503
α_2 100 0 −0.500 0.019 −0.557 −0.501 −0.454
α_3 100 0 0.999 0.019 0.947 1.001 1.035
γ_0 100 0 1.056 0.106 0.780 1.058 1.370
γ_1 100 0 1.262 0.081 1.037 1.256 1.478
γ_2 100 0 0.993 0.017 0.953 0.993 1.035
γ_3 100 0 0.995 0.020 0.954 0.995 1.032
θ 100 0 0.001 0.005 0.000 0.000 0.037
sd_α_0 100 0 0.006 0.000 0.006 0.006 0.006
sd_α_1 100 0 0.027 0.001 0.026 0.027 0.029
sd_α_2 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.012
sd_γ_1 100 0 0.014 0.001 0.012 0.014 0.017
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.933 0.897 7.453 9.922 12.191
α_1 100 0 −0.943 3.335 −8.999 −1.125 7.741
α_2 100 0 −0.990 0.372 −1.926 −0.966 0.355
α_3 100 0 0.992 0.218 0.563 0.996 1.477
γ_0 100 0 1.214 1.177 −3.406 1.257 4.087
γ_1 100 0 2.877 2.678 −1.244 2.125 11.159
γ_2 100 0 0.993 0.188 0.575 0.968 1.827
γ_3 100 0 1.001 0.198 0.610 0.990 1.783
θ 100 0 0.163 0.251 0.000 0.006 1.000
sd_α_0 100 0 0.682 0.175 0.361 0.671 1.120
sd_α_1 100 0 5.423 1.197 2.723 5.305 9.484
sd_α_2 100 0 0.562 0.119 0.295 0.555 0.945
sd_α_3 100 0 0.268 0.058 0.130 0.265 0.406
sd_γ_0 100 0 1.051 0.301 0.290 1.021 2.025
sd_γ_1 100 0 2.498 1.287 0.649 2.161 8.148
sd_γ_2 100 0 0.035 0.008 0.019 0.034 0.060
sd_γ_3 100 0 0.040 0.008 0.025 0.039 0.068
sd_θ 100 0 0.103 0.030 0.033 0.100 0.196
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.640 8.767 9.912 11.649
α_1 100 0 −1.277 2.296 −9.090 −1.307 3.572
α_2 100 0 −0.957 0.243 −1.500 −0.962 −0.171
α_3 100 0 0.996 0.141 0.591 0.976 1.348
γ_0 100 0 1.089 1.015 −2.041 1.152 3.111
γ_1 100 0 2.074 1.613 −1.098 1.746 7.674
γ_2 100 0 0.991 0.146 0.625 0.972 1.445
γ_3 100 0 0.976 0.153 0.624 0.973 1.494
θ 100 0 0.061 0.106 0.000 0.000 0.539
sd_α_0 100 0 0.332 0.066 0.212 0.329 0.555
sd_α_1 100 0 2.546 0.365 1.857 2.519 3.657
sd_α_2 100 0 0.265 0.036 0.197 0.258 0.380
sd_α_3 100 0 0.128 0.018 0.090 0.127 0.189
sd_γ_0 100 0 0.503 0.120 0.243 0.499 0.869
sd_γ_1 100 0 1.246 0.798 0.514 1.080 7.122
sd_γ_2 100 0 0.017 0.004 0.010 0.017 0.029
sd_γ_3 100 0 0.019 0.003 0.013 0.019 0.028
sd_θ 100 0 0.049 0.012 0.022 0.050 0.087
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.499 8.849 9.898 12.162
α_1 100 0 −1.156 1.481 −5.041 −1.140 2.597
α_2 100 0 −0.986 0.184 −1.489 −0.987 −0.567
α_3 100 0 0.997 0.102 0.805 0.980 1.371
γ_0 100 0 1.122 0.650 −0.462 1.202 2.583
γ_1 100 0 1.832 1.090 −0.148 1.579 5.098
γ_2 100 0 0.993 0.094 0.801 0.986 1.282
γ_3 100 0 0.990 0.096 0.796 0.983 1.307
θ 100 0 0.045 0.077 0.000 0.000 0.323
sd_α_0 100 0 0.161 0.024 0.113 0.158 0.227
sd_α_1 100 0 1.280 0.151 0.982 1.265 1.841
sd_α_2 100 0 0.133 0.015 0.105 0.132 0.188
sd_α_3 100 0 0.063 0.007 0.047 0.062 0.080
sd_γ_0 100 0 0.250 0.042 0.157 0.253 0.393
sd_γ_1 100 0 0.553 0.151 0.278 0.533 0.933
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.012
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.012
sd_θ 100 0 0.024 0.004 0.016 0.025 0.038
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.006 0.190 9.664 10.007 10.476
α_1 100 0 −1.074 0.713 −3.064 −1.075 0.916
α_2 100 0 −0.994 0.084 −1.234 −0.989 −0.760
α_3 100 0 0.998 0.048 0.896 0.995 1.125
γ_0 100 0 1.133 0.251 0.497 1.138 1.643
γ_1 100 0 1.483 0.386 0.692 1.485 2.646
γ_2 100 0 0.984 0.041 0.866 0.981 1.095
γ_3 100 0 0.996 0.038 0.900 0.995 1.103
θ 100 0 0.009 0.025 0.000 0.000 0.154
sd_α_0 100 0 0.032 0.002 0.028 0.032 0.036
sd_α_1 100 0 0.252 0.011 0.227 0.252 0.275
sd_α_2 100 0 0.026 0.001 0.024 0.026 0.028
sd_α_3 100 0 0.013 0.001 0.011 0.012 0.014
sd_γ_0 100 0 0.050 0.004 0.041 0.050 0.061
sd_γ_1 100 0 0.107 0.014 0.077 0.107 0.153
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.010 0.126 9.731 9.995 10.335
α_1 100 0 −1.019 0.463 −2.032 −1.021 −0.015
α_2 100 0 −1.000 0.053 −1.129 −1.000 −0.850
α_3 100 0 1.003 0.031 0.938 1.005 1.062
γ_0 100 0 1.090 0.204 0.542 1.084 1.620
γ_1 100 0 1.442 0.288 0.845 1.406 2.213
γ_2 100 0 0.992 0.030 0.912 0.993 1.064
γ_3 100 0 0.987 0.027 0.913 0.984 1.077
θ 100 0 0.003 0.010 0.000 0.000 0.057
sd_α_0 100 0 0.016 0.001 0.015 0.016 0.017
sd_α_1 100 0 0.126 0.004 0.118 0.126 0.137
sd_α_2 100 0 0.013 0.000 0.012 0.013 0.014
sd_α_3 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_0 100 0 0.025 0.002 0.022 0.025 0.029
sd_γ_1 100 0 0.053 0.004 0.044 0.052 0.066
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 0.085 9.768 10.013 10.200
α_1 100 0 −1.054 0.308 −1.716 −1.050 −0.219
α_2 100 0 −0.997 0.033 −1.075 −0.993 −0.930
α_3 100 0 1.003 0.020 0.959 1.002 1.049
γ_0 100 0 1.093 0.130 0.731 1.103 1.398
γ_1 100 0 1.425 0.176 1.058 1.405 1.927
γ_2 100 0 0.991 0.019 0.948 0.990 1.041
γ_3 100 0 0.989 0.020 0.929 0.990 1.038
θ 100 0 0.001 0.006 0.000 0.000 0.040
sd_α_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_α_1 100 0 0.050 0.001 0.048 0.050 0.052
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.005
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.003
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.021 0.001 0.018 0.021 0.023
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.027 0.973 8.184 9.967 14.140
α_1 100 0 −2.793 15.115 −36.412 −2.222 34.879
α_2 100 0 −4.848 1.764 −9.933 −4.817 −1.841
α_3 100 0 1.004 0.222 0.481 0.970 1.743
γ_0 100 0 1.360 1.295 −2.209 1.557 3.702
γ_1 100 0 9.328 11.696 −9.945 7.810 46.578
γ_2 100 0 0.938 0.194 0.503 0.922 1.505
γ_3 100 0 0.974 0.186 0.470 0.965 1.604
θ 100 0 0.143 0.217 0.000 0.009 0.927
sd_α_0 100 0 0.755 0.199 0.375 0.742 1.441
sd_α_1 100 0 25.056 5.789 14.801 23.829 42.336
sd_α_2 100 0 2.627 0.578 1.666 2.557 4.517
sd_α_3 100 0 0.288 0.066 0.166 0.281 0.493
sd_γ_0 100 0 1.072 0.345 0.450 1.003 1.945
sd_γ_1 100 0 10.860 5.809 2.317 9.316 26.336
sd_γ_2 100 0 0.035 0.007 0.019 0.034 0.057
sd_γ_3 100 0 0.039 0.008 0.025 0.038 0.061
sd_θ 100 0 0.106 0.034 0.045 0.100 0.196
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.961 0.545 8.679 9.945 11.240
α_1 100 0 −1.358 8.303 −18.536 −1.695 18.125
α_2 100 0 −4.939 0.965 −7.482 −4.963 −2.676
α_3 100 0 0.994 0.134 0.628 0.996 1.392
γ_0 100 0 1.245 0.841 −1.769 1.266 2.966
γ_1 100 0 3.918 5.871 −7.010 3.417 21.853
γ_2 100 0 0.978 0.129 0.687 0.966 1.384
γ_3 100 0 0.980 0.139 0.659 0.985 1.340
θ 100 0 0.036 0.079 0.000 0.000 0.359
sd_α_0 100 0 0.348 0.057 0.233 0.343 0.483
sd_α_1 100 0 11.824 1.792 8.037 11.743 16.707
sd_α_2 100 0 1.244 0.176 0.868 1.227 1.682
sd_α_3 100 0 0.137 0.018 0.102 0.135 0.189
sd_γ_0 100 0 0.483 0.129 0.239 0.469 0.909
sd_γ_1 100 0 4.219 1.466 1.831 3.921 8.800
sd_γ_2 100 0 0.017 0.003 0.010 0.017 0.027
sd_γ_3 100 0 0.019 0.003 0.013 0.019 0.029
sd_θ 100 0 0.047 0.013 0.026 0.046 0.089
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.967 0.396 9.046 9.941 10.802
α_1 100 0 −0.952 7.211 −18.070 −1.057 15.549
α_2 100 0 −4.972 0.807 −6.846 −4.915 −3.013
α_3 100 0 1.001 0.099 0.769 0.993 1.269
γ_0 100 0 1.221 0.622 −0.403 1.359 2.401
γ_1 100 0 4.653 4.910 −2.627 3.819 22.576
γ_2 100 0 0.973 0.095 0.764 0.968 1.310
γ_3 100 0 0.983 0.099 0.778 0.974 1.265
θ 100 0 0.045 0.083 0.000 0.000 0.443
sd_α_0 100 0 0.170 0.019 0.129 0.167 0.218
sd_α_1 100 0 5.847 0.573 4.458 5.868 7.148
sd_α_2 100 0 0.613 0.056 0.478 0.619 0.759
sd_α_3 100 0 0.067 0.007 0.054 0.067 0.088
sd_γ_0 100 0 0.251 0.048 0.165 0.246 0.407
sd_γ_1 100 0 2.190 0.604 1.130 2.095 4.371
sd_γ_2 100 0 0.009 0.001 0.007 0.009 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.013
sd_θ 100 0 0.025 0.005 0.016 0.024 0.040
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.021 0.196 9.574 9.984 10.626
α_1 100 0 −1.292 2.799 −9.036 −0.953 5.567
α_2 100 0 −4.988 0.341 −5.810 −4.967 −4.140
α_3 100 0 1.001 0.047 0.903 1.002 1.120
γ_0 100 0 1.155 0.249 0.349 1.165 1.626
γ_1 100 0 3.095 1.739 −0.178 2.638 8.242
γ_2 100 0 0.982 0.039 0.898 0.982 1.091
γ_3 100 0 0.987 0.043 0.881 0.987 1.107
θ 100 0 0.009 0.024 0.000 0.000 0.114
sd_α_0 100 0 0.034 0.002 0.030 0.034 0.040
sd_α_1 100 0 1.163 0.047 1.071 1.159 1.283
sd_α_2 100 0 0.122 0.005 0.113 0.122 0.134
sd_α_3 100 0 0.013 0.001 0.012 0.013 0.015
sd_γ_0 100 0 0.049 0.004 0.036 0.049 0.060
sd_γ_1 100 0 0.416 0.049 0.273 0.408 0.579
sd_γ_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.003 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.139 9.664 9.999 10.391
α_1 100 0 −0.892 1.788 −4.986 −0.834 4.114
α_2 100 0 −5.011 0.207 −5.508 −5.035 −4.459
α_3 100 0 0.999 0.029 0.933 0.997 1.060
γ_0 100 0 1.146 0.173 0.630 1.160 1.580
γ_1 100 0 2.774 1.082 0.172 2.724 6.108
γ_2 100 0 0.985 0.027 0.913 0.983 1.055
γ_3 100 0 0.983 0.029 0.918 0.984 1.054
θ 100 0 0.003 0.009 0.000 0.000 0.063
sd_α_0 100 0 0.017 0.001 0.015 0.017 0.019
sd_α_1 100 0 0.575 0.019 0.526 0.574 0.624
sd_α_2 100 0 0.060 0.002 0.056 0.060 0.065
sd_α_3 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_0 100 0 0.024 0.001 0.019 0.024 0.028
sd_γ_1 100 0 0.201 0.016 0.162 0.200 0.244
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.082 9.776 9.995 10.227
α_1 100 0 −0.978 1.209 −4.140 −1.031 2.241
α_2 100 0 −5.003 0.142 −5.388 −4.974 −4.679
α_3 100 0 1.001 0.019 0.959 1.000 1.047
γ_0 100 0 1.129 0.120 0.800 1.138 1.381
γ_1 100 0 2.739 0.658 1.056 2.782 4.618
γ_2 100 0 0.987 0.018 0.946 0.987 1.033
γ_3 100 0 0.987 0.020 0.919 0.989 1.033
θ 100 0 0.000 0.000 0.000 0.000 0.005
sd_α_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_α_1 100 0 0.231 0.004 0.220 0.231 0.241
sd_α_2 100 0 0.024 0.000 0.023 0.024 0.025
sd_α_3 100 0 0.003 0.000 0.003 0.003 0.003
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.081 0.005 0.072 0.081 0.097
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.078 1.156 7.657 10.040 17.632
α_1 100 0 −2.394 47.415 −116.686 −1.858 116.140
α_2 100 0 −20.067 5.963 −49.105 −19.537 −8.920
α_3 100 0 1.028 0.243 0.532 0.999 2.502
γ_0 100 0 1.446 1.112 −3.678 1.556 3.467
γ_1 100 0 27.966 40.780 −31.273 19.792 176.256
γ_2 100 0 0.946 0.190 0.494 0.939 1.771
γ_3 100 0 0.942 0.189 0.552 0.938 1.569
θ 100 0 0.139 0.207 0.000 0.025 1.000
sd_α_0 100 0 0.753 0.221 0.381 0.743 2.090
sd_α_1 100 0 97.743 21.489 57.601 93.758 209.008
sd_α_2 100 0 10.273 2.146 5.903 10.087 22.253
sd_α_3 100 0 0.294 0.068 0.180 0.292 0.694
sd_γ_0 100 0 0.962 0.275 0.368 0.943 1.807
sd_γ_1 100 0 33.645 15.157 10.439 31.681 98.454
sd_γ_2 100 0 0.034 0.008 0.017 0.033 0.062
sd_γ_3 100 0 0.037 0.009 0.022 0.036 0.077
sd_θ 100 0 0.095 0.028 0.037 0.093 0.178
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.682 8.803 9.929 12.743
α_1 100 0 −2.544 33.319 −79.604 −0.205 74.863
α_2 100 0 −19.850 3.830 −30.398 −20.057 −11.814
α_3 100 0 0.992 0.157 0.692 0.984 1.611
γ_0 100 0 1.198 0.818 −1.489 1.147 2.977
γ_1 100 0 16.287 26.393 −36.110 13.695 114.921
γ_2 100 0 0.989 0.131 0.627 0.997 1.356
γ_3 100 0 0.974 0.133 0.688 0.970 1.450
θ 100 0 0.053 0.099 0.000 0.000 0.399
sd_α_0 100 0 0.353 0.065 0.220 0.343 0.591
sd_α_1 100 0 47.235 6.406 34.159 46.943 63.257
sd_α_2 100 0 4.952 0.639 3.507 4.987 6.551
sd_α_3 100 0 0.138 0.022 0.105 0.135 0.228
sd_γ_0 100 0 0.513 0.129 0.255 0.488 0.895
sd_γ_1 100 0 17.499 6.048 7.166 16.594 43.630
sd_γ_2 100 0 0.017 0.003 0.011 0.016 0.027
sd_γ_3 100 0 0.019 0.003 0.014 0.019 0.032
sd_θ 100 0 0.050 0.013 0.026 0.048 0.090
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.994 0.371 9.163 10.035 11.065
α_1 100 0 −0.532 21.853 −48.025 0.577 67.392
α_2 100 0 −20.039 2.642 −27.673 −20.145 −13.664
α_3 100 0 0.991 0.103 0.703 1.002 1.231
γ_0 100 0 1.183 0.660 −0.904 1.189 2.491
γ_1 100 0 13.808 14.170 −14.088 11.453 66.695
γ_2 100 0 0.987 0.094 0.778 0.979 1.252
γ_3 100 0 0.982 0.096 0.744 0.973 1.274
θ 100 0 0.038 0.067 0.000 0.000 0.300
sd_α_0 100 0 0.176 0.019 0.131 0.176 0.229
sd_α_1 100 0 23.064 2.079 18.211 23.197 29.526
sd_α_2 100 0 2.438 0.212 1.997 2.452 3.187
sd_α_3 100 0 0.069 0.006 0.053 0.069 0.084
sd_γ_0 100 0 0.244 0.048 0.152 0.237 0.404
sd_γ_1 100 0 8.046 1.997 4.503 7.592 14.865
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.012
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.013
sd_θ 100 0 0.024 0.005 0.016 0.023 0.039
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.019 0.174 9.616 10.026 10.367
α_1 100 0 0.831 10.322 −26.857 1.953 28.642
α_2 100 0 −20.251 1.177 −23.084 −20.211 −16.694
α_3 100 0 1.006 0.041 0.912 1.012 1.103
γ_0 100 0 1.134 0.258 0.406 1.159 1.919
γ_1 100 0 8.497 6.106 −3.736 7.543 26.993
γ_2 100 0 0.989 0.040 0.883 0.989 1.111
γ_3 100 0 0.982 0.042 0.859 0.987 1.120
θ 100 0 0.005 0.014 0.000 0.000 0.073
sd_α_0 100 0 0.035 0.002 0.030 0.035 0.038
sd_α_1 100 0 4.592 0.168 4.190 4.626 5.039
sd_α_2 100 0 0.484 0.016 0.445 0.486 0.526
sd_α_3 100 0 0.014 0.001 0.012 0.014 0.015
sd_γ_0 100 0 0.048 0.004 0.036 0.048 0.057
sd_γ_1 100 0 1.536 0.177 1.055 1.503 1.994
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.137 9.610 10.001 10.327
α_1 100 0 −1.356 8.204 −21.595 −0.259 15.540
α_2 100 0 −19.974 0.969 −22.431 −19.986 −18.050
α_3 100 0 1.004 0.032 0.889 1.004 1.073
γ_0 100 0 1.126 0.172 0.680 1.132 1.515
γ_1 100 0 8.457 4.071 0.381 7.853 22.144
γ_2 100 0 0.987 0.029 0.929 0.986 1.071
γ_3 100 0 0.984 0.032 0.912 0.979 1.060
θ 100 0 0.003 0.009 0.000 0.000 0.050
sd_α_0 100 0 0.017 0.001 0.016 0.017 0.019
sd_α_1 100 0 2.274 0.074 2.025 2.274 2.431
sd_α_2 100 0 0.239 0.007 0.218 0.239 0.256
sd_α_3 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_0 100 0 0.024 0.002 0.020 0.023 0.028
sd_γ_1 100 0 0.775 0.074 0.654 0.759 0.952
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.991 0.076 9.851 9.981 10.176
α_1 100 0 −0.919 4.200 −14.379 −0.690 9.902
α_2 100 0 −19.977 0.462 −21.168 −20.022 −18.729
α_3 100 0 1.000 0.017 0.952 1.000 1.040
γ_0 100 0 1.121 0.118 0.792 1.132 1.358
γ_1 100 0 8.199 2.483 2.920 8.355 13.813
γ_2 100 0 0.987 0.019 0.939 0.987 1.045
γ_3 100 0 0.987 0.018 0.939 0.988 1.033
θ 100 0 0.001 0.004 0.000 0.000 0.040
sd_α_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_α_1 100 0 0.908 0.016 0.876 0.905 0.947
sd_α_2 100 0 0.096 0.002 0.092 0.095 0.100
sd_α_3 100 0 0.003 0.000 0.003 0.003 0.003
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.314 0.018 0.279 0.312 0.374
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.1\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.922 1.004 7.786 9.863 14.467
α_1 100 0 −0.980 0.866 −3.118 −0.867 0.802
α_2 100 0 −0.097 0.084 −0.362 −0.096 0.101
α_3 100 0 0.993 0.247 0.475 0.952 2.143
γ_0 100 0 1.055 1.597 −4.200 1.468 4.230
γ_1 100 0 1.671 0.899 0.356 1.399 3.999
γ_2 100 0 0.988 0.229 0.404 0.948 1.743
γ_3 100 0 1.002 0.224 0.450 0.977 1.672
θ 100 0 0.259 0.374 0.000 0.000 1.000
sd_α_0 100 0 0.479 0.171 0.164 0.439 1.133
sd_α_1 100 0 0.998 0.282 0.298 0.960 1.860
sd_α_2 100 0 0.100 0.027 0.031 0.095 0.192
sd_α_3 100 0 0.188 0.059 0.074 0.182 0.424
sd_γ_0 100 0 1.118 0.381 0.339 1.035 2.228
sd_γ_1 100 0 3.899 12.052 0.225 0.989 89.323
sd_γ_2 100 0 0.036 0.009 0.022 0.034 0.068
sd_γ_3 100 0 0.040 0.009 0.024 0.038 0.065
sd_θ 100 0 0.110 0.037 0.031 0.106 0.212
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.982 0.793 8.536 9.913 14.488
α_1 100 0 −0.983 0.706 −4.420 −0.892 0.476
α_2 100 0 −0.101 0.061 −0.364 −0.101 0.055
α_3 100 0 0.998 0.183 0.695 0.974 2.060
γ_0 100 0 1.149 0.909 −2.402 1.211 3.052
γ_1 100 0 1.578 0.778 0.450 1.403 5.460
γ_2 100 0 0.982 0.137 0.694 0.974 1.439
γ_3 100 0 0.984 0.151 0.585 0.963 1.331
θ 100 0 0.199 0.316 0.000 0.000 1.000
sd_α_0 100 0 0.235 0.063 0.137 0.224 0.526
sd_α_1 100 0 0.478 0.109 0.302 0.467 1.096
sd_α_2 100 0 0.048 0.011 0.032 0.046 0.108
sd_α_3 100 0 0.092 0.020 0.054 0.090 0.196
sd_γ_0 100 0 0.532 0.139 0.314 0.521 0.926
sd_γ_1 100 0 1.056 2.601 0.161 0.534 25.420
sd_γ_2 100 0 0.017 0.003 0.010 0.017 0.025
sd_γ_3 100 0 0.019 0.003 0.013 0.018 0.027
sd_θ 100 0 0.052 0.014 0.030 0.051 0.088
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.017 0.514 8.751 9.988 11.461
α_1 100 0 −1.064 0.383 −1.977 −1.066 −0.235
α_2 100 0 −0.094 0.040 −0.220 −0.091 −0.005
α_3 100 0 1.007 0.101 0.823 0.997 1.310
γ_0 100 0 0.970 0.733 −0.994 0.946 2.406
γ_1 100 0 1.472 0.494 0.685 1.351 3.193
γ_2 100 0 1.001 0.106 0.809 0.995 1.248
γ_3 100 0 1.010 0.111 0.743 1.004 1.397
θ 100 0 0.137 0.237 0.000 0.000 1.000
sd_α_0 100 0 0.117 0.018 0.081 0.117 0.180
sd_α_1 100 0 0.237 0.031 0.165 0.235 0.323
sd_α_2 100 0 0.024 0.003 0.016 0.024 0.032
sd_α_3 100 0 0.045 0.007 0.029 0.044 0.069
sd_γ_0 100 0 0.273 0.052 0.174 0.268 0.409
sd_γ_1 100 0 0.426 0.574 0.136 0.289 4.192
sd_γ_2 100 0 0.009 0.001 0.006 0.009 0.012
sd_γ_3 100 0 0.010 0.001 0.007 0.009 0.012
sd_θ 100 0 0.027 0.005 0.017 0.026 0.040
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.185 9.641 10.009 10.470
α_1 100 0 −0.987 0.168 −1.521 −0.985 −0.606
α_2 100 0 −0.102 0.016 −0.131 −0.102 −0.055
α_3 100 0 0.998 0.046 0.873 0.998 1.120
γ_0 100 0 1.038 0.315 0.182 1.048 1.792
γ_1 100 0 1.270 0.179 0.963 1.229 1.913
γ_2 100 0 0.994 0.043 0.899 0.994 1.086
γ_3 100 0 0.997 0.049 0.881 1.001 1.106
θ 100 0 0.042 0.084 0.000 0.000 0.354
sd_α_0 100 0 0.023 0.002 0.019 0.023 0.027
sd_α_1 100 0 0.047 0.002 0.040 0.047 0.054
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.009 0.000 0.008 0.009 0.010
sd_γ_0 100 0 0.053 0.005 0.044 0.052 0.065
sd_γ_1 100 0 0.054 0.011 0.037 0.054 0.110
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.150 9.650 10.002 10.424
α_1 100 0 −0.987 0.123 −1.312 −0.993 −0.569
α_2 100 0 −0.101 0.012 −0.125 −0.101 −0.072
α_3 100 0 1.001 0.036 0.910 1.001 1.110
γ_0 100 0 1.013 0.218 0.356 1.009 1.541
γ_1 100 0 1.219 0.095 1.032 1.215 1.554
γ_2 100 0 0.999 0.033 0.916 0.996 1.103
γ_3 100 0 0.999 0.030 0.922 1.004 1.081
θ 100 0 0.012 0.036 0.000 0.000 0.196
sd_α_0 100 0 0.011 0.001 0.010 0.011 0.013
sd_α_1 100 0 0.023 0.001 0.021 0.023 0.026
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.004 0.000 0.004 0.004 0.005
sd_γ_0 100 0 0.026 0.002 0.023 0.027 0.031
sd_γ_1 100 0 0.027 0.003 0.020 0.026 0.036
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.082 9.812 10.004 10.206
α_1 100 0 −0.989 0.081 −1.193 −0.978 −0.798
α_2 100 0 −0.102 0.008 −0.120 −0.101 −0.084
α_3 100 0 1.002 0.020 0.962 1.003 1.054
γ_0 100 0 1.008 0.131 0.641 1.019 1.296
γ_1 100 0 1.201 0.050 1.096 1.196 1.456
γ_2 100 0 1.000 0.020 0.947 0.998 1.045
γ_3 100 0 0.998 0.019 0.945 0.998 1.050
θ 100 0 0.003 0.012 0.000 0.000 0.098
sd_α_0 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_1 100 0 0.009 0.000 0.009 0.009 0.010
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.011 0.000 0.010 0.011 0.011
sd_γ_1 100 0 0.011 0.001 0.009 0.011 0.014
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.978 1.100 7.673 9.744 14.551
α_1 100 0 −1.068 2.043 −9.409 −1.104 3.604
α_2 100 0 −0.491 0.222 −1.043 −0.470 0.065
α_3 100 0 0.979 0.220 0.433 0.949 1.703
γ_0 100 0 1.178 1.483 −3.473 1.431 4.233
γ_1 100 0 2.223 1.668 −1.010 1.891 8.380
γ_2 100 0 0.979 0.209 0.581 0.970 1.425
γ_3 100 0 0.983 0.210 0.481 0.976 1.601
θ 100 0 0.137 0.236 0.000 0.000 0.999
sd_α_0 100 0 0.629 0.202 0.338 0.583 1.643
sd_α_1 100 0 2.928 0.744 1.389 2.817 6.354
sd_α_2 100 0 0.302 0.072 0.133 0.294 0.582
sd_α_3 100 0 0.248 0.063 0.099 0.236 0.514
sd_γ_0 100 0 1.076 0.399 0.467 0.995 2.963
sd_γ_1 100 0 19.695 177.572 0.411 1.452 1777.581
sd_γ_2 100 0 0.035 0.009 0.017 0.035 0.064
sd_γ_3 100 0 0.040 0.009 0.021 0.039 0.070
sd_θ 100 0 0.106 0.040 0.042 0.096 0.292
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.726 8.691 9.844 12.232
α_1 100 0 −1.088 1.283 −5.789 −1.066 2.326
α_2 100 0 −0.484 0.140 −0.981 −0.491 −0.028
α_3 100 0 0.991 0.157 0.605 0.962 1.598
γ_0 100 0 1.366 0.883 −0.834 1.513 3.511
γ_1 100 0 1.815 1.086 −0.112 1.623 7.475
γ_2 100 0 0.948 0.146 0.636 0.940 1.456
γ_3 100 0 0.952 0.140 0.608 0.947 1.341
θ 100 0 0.084 0.168 0.000 0.000 0.940
sd_α_0 100 0 0.300 0.065 0.202 0.289 0.505
sd_α_1 100 0 1.405 0.235 0.868 1.386 2.174
sd_α_2 100 0 0.145 0.024 0.095 0.142 0.234
sd_α_3 100 0 0.116 0.022 0.077 0.113 0.195
sd_γ_0 100 0 0.515 0.137 0.271 0.480 0.921
sd_γ_1 100 0 0.973 1.338 0.290 0.752 11.327
sd_γ_2 100 0 0.017 0.003 0.011 0.017 0.024
sd_γ_3 100 0 0.019 0.003 0.013 0.018 0.026
sd_θ 100 0 0.051 0.014 0.027 0.047 0.092
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.041 0.475 9.076 10.000 11.728
α_1 100 0 −1.054 1.037 −3.057 −0.926 1.468
α_2 100 0 −0.500 0.112 −0.780 −0.497 −0.204
α_3 100 0 1.010 0.110 0.765 1.016 1.246
γ_0 100 0 1.107 0.619 −0.983 1.186 2.677
γ_1 100 0 1.765 0.645 0.524 1.686 4.240
γ_2 100 0 0.991 0.095 0.767 0.988 1.244
γ_3 100 0 0.970 0.092 0.763 0.957 1.297
θ 100 0 0.046 0.077 0.000 0.000 0.393
sd_α_0 100 0 0.147 0.023 0.108 0.143 0.220
sd_α_1 100 0 0.712 0.081 0.512 0.700 1.012
sd_α_2 100 0 0.073 0.008 0.054 0.072 0.102
sd_α_3 100 0 0.058 0.007 0.040 0.057 0.077
sd_γ_0 100 0 0.255 0.043 0.172 0.257 0.372
sd_γ_1 100 0 0.383 0.114 0.207 0.359 0.796
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.025 0.004 0.016 0.025 0.037
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.042 0.185 9.652 10.034 10.520
α_1 100 0 −0.969 0.399 −2.022 −0.997 0.250
α_2 100 0 −0.509 0.044 −0.621 −0.505 −0.410
α_3 100 0 1.014 0.047 0.912 1.011 1.141
γ_0 100 0 1.173 0.251 0.605 1.183 1.654
γ_1 100 0 1.471 0.198 1.105 1.451 1.992
γ_2 100 0 0.979 0.040 0.896 0.979 1.082
γ_3 100 0 0.985 0.038 0.902 0.981 1.081
θ 100 0 0.002 0.008 0.000 0.000 0.061
sd_α_0 100 0 0.029 0.002 0.025 0.029 0.035
sd_α_1 100 0 0.138 0.006 0.127 0.137 0.156
sd_α_2 100 0 0.014 0.001 0.013 0.014 0.016
sd_α_3 100 0 0.011 0.001 0.010 0.011 0.013
sd_γ_0 100 0 0.050 0.004 0.040 0.050 0.059
sd_γ_1 100 0 0.070 0.009 0.053 0.070 0.090
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.131 9.681 9.966 10.273
α_1 100 0 −0.966 0.276 −1.588 −0.946 0.048
α_2 100 0 −0.500 0.029 −0.601 −0.499 −0.443
α_3 100 0 0.997 0.031 0.923 0.993 1.096
γ_0 100 0 1.155 0.191 0.536 1.169 1.573
γ_1 100 0 1.469 0.165 1.128 1.469 1.964
γ_2 100 0 0.983 0.027 0.926 0.982 1.065
γ_3 100 0 0.984 0.029 0.931 0.984 1.067
θ 100 0 0.001 0.004 0.000 0.000 0.028
sd_α_0 100 0 0.014 0.001 0.013 0.014 0.016
sd_α_1 100 0 0.068 0.002 0.061 0.068 0.073
sd_α_2 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_3 100 0 0.006 0.000 0.005 0.006 0.006
sd_γ_0 100 0 0.025 0.002 0.021 0.025 0.029
sd_γ_1 100 0 0.035 0.003 0.029 0.034 0.044
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.087 9.848 9.996 10.264
α_1 100 0 −1.028 0.182 −1.504 −1.010 −0.705
α_2 100 0 −0.498 0.019 −0.534 −0.501 −0.447
α_3 100 0 0.999 0.019 0.961 0.995 1.057
γ_0 100 0 1.158 0.116 0.860 1.161 1.393
γ_1 100 0 1.466 0.090 1.300 1.465 1.650
γ_2 100 0 0.982 0.019 0.940 0.981 1.037
γ_3 100 0 0.983 0.020 0.946 0.984 1.040
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.006 0.000 0.005 0.006 0.006
sd_α_1 100 0 0.027 0.001 0.026 0.027 0.029
sd_α_2 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.014 0.001 0.013 0.014 0.017
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.038 0.939 8.563 9.859 13.464
α_1 100 0 −1.139 3.316 −9.244 −0.999 7.905
α_2 100 0 −0.998 0.364 −1.958 −0.969 −0.259
α_3 100 0 1.000 0.203 0.591 0.988 1.603
γ_0 100 0 0.947 1.338 −3.439 1.190 3.943
γ_1 100 0 3.624 3.080 −1.614 2.918 15.593
γ_2 100 0 1.007 0.219 0.555 0.989 1.724
γ_3 100 0 1.000 0.213 0.377 0.992 1.750
θ 100 0 0.125 0.213 0.000 0.000 1.000
sd_α_0 100 0 0.658 0.182 0.339 0.632 1.333
sd_α_1 100 0 5.446 1.338 2.979 5.260 11.271
sd_α_2 100 0 0.565 0.134 0.330 0.544 1.138
sd_α_3 100 0 0.256 0.055 0.150 0.244 0.407
sd_γ_0 100 0 1.127 0.394 0.532 1.037 2.725
sd_γ_1 100 0 2.955 1.846 0.624 2.372 10.473
sd_γ_2 100 0 0.036 0.010 0.020 0.035 0.072
sd_γ_3 100 0 0.040 0.009 0.023 0.041 0.076
sd_θ 100 0 0.110 0.039 0.052 0.103 0.268
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.699 8.589 10.008 12.681
α_1 100 0 −0.966 2.437 −6.588 −0.897 7.025
α_2 100 0 −1.004 0.283 −1.796 −1.009 −0.358
α_3 100 0 0.992 0.162 0.666 0.982 1.479
γ_0 100 0 1.145 0.867 −0.809 1.280 3.236
γ_1 100 0 2.653 2.051 −0.682 2.253 11.311
γ_2 100 0 0.989 0.140 0.603 0.996 1.385
γ_3 100 0 0.981 0.120 0.703 0.984 1.283
θ 100 0 0.073 0.151 0.000 0.000 0.731
sd_α_0 100 0 0.319 0.069 0.190 0.309 0.630
sd_α_1 100 0 2.575 0.385 1.709 2.523 3.597
sd_α_2 100 0 0.268 0.040 0.180 0.262 0.363
sd_α_3 100 0 0.125 0.021 0.086 0.122 0.187
sd_γ_0 100 0 0.507 0.121 0.251 0.486 0.886
sd_γ_1 100 0 1.233 0.538 0.496 1.087 3.334
sd_γ_2 100 0 0.017 0.003 0.012 0.017 0.024
sd_γ_3 100 0 0.019 0.003 0.015 0.019 0.029
sd_θ 100 0 0.050 0.012 0.025 0.048 0.086
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.052 0.470 9.294 9.975 11.816
α_1 100 0 −0.985 1.597 −5.063 −1.158 3.600
α_2 100 0 −1.013 0.187 −1.675 −0.993 −0.547
α_3 100 0 1.009 0.109 0.786 1.004 1.354
γ_0 100 0 1.205 0.521 −0.343 1.215 2.288
γ_1 100 0 2.095 1.007 0.510 1.870 5.987
γ_2 100 0 0.979 0.081 0.790 0.977 1.262
γ_3 100 0 0.976 0.088 0.764 0.984 1.266
θ 100 0 0.029 0.060 0.000 0.000 0.346
sd_α_0 100 0 0.158 0.021 0.103 0.157 0.208
sd_α_1 100 0 1.308 0.136 1.067 1.291 1.816
sd_α_2 100 0 0.136 0.014 0.111 0.135 0.189
sd_α_3 100 0 0.061 0.006 0.050 0.060 0.080
sd_γ_0 100 0 0.256 0.044 0.157 0.254 0.378
sd_γ_1 100 0 0.590 0.162 0.280 0.582 1.044
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.013
sd_θ 100 0 0.025 0.004 0.016 0.025 0.037
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.198 9.512 9.995 10.631
α_1 100 0 −1.035 0.685 −3.025 −1.009 1.053
α_2 100 0 −0.999 0.082 −1.248 −1.003 −0.797
α_3 100 0 0.997 0.049 0.896 0.992 1.156
γ_0 100 0 1.140 0.305 0.504 1.156 1.897
γ_1 100 0 1.955 0.417 0.955 1.929 2.837
γ_2 100 0 0.984 0.046 0.877 0.983 1.085
γ_3 100 0 0.977 0.044 0.864 0.974 1.114
θ 100 0 0.005 0.017 0.000 0.000 0.096
sd_α_0 100 0 0.031 0.002 0.027 0.030 0.036
sd_α_1 100 0 0.253 0.011 0.231 0.253 0.286
sd_α_2 100 0 0.026 0.001 0.024 0.026 0.030
sd_α_3 100 0 0.012 0.001 0.011 0.012 0.014
sd_γ_0 100 0 0.049 0.004 0.038 0.049 0.061
sd_γ_1 100 0 0.111 0.013 0.083 0.111 0.157
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.994 0.127 9.689 9.981 10.334
α_1 100 0 −1.076 0.462 −2.293 −1.053 −0.143
α_2 100 0 −0.991 0.046 −1.095 −0.987 −0.883
α_3 100 0 1.002 0.031 0.902 1.001 1.075
γ_0 100 0 1.186 0.182 0.712 1.182 1.605
γ_1 100 0 1.816 0.256 1.250 1.806 2.476
γ_2 100 0 0.980 0.027 0.907 0.982 1.058
γ_3 100 0 0.977 0.031 0.912 0.974 1.053
θ 100 0 0.000 0.005 0.000 0.000 0.046
sd_α_0 100 0 0.015 0.001 0.014 0.015 0.017
sd_α_1 100 0 0.125 0.004 0.114 0.125 0.136
sd_α_2 100 0 0.013 0.000 0.012 0.013 0.014
sd_α_3 100 0 0.006 0.000 0.006 0.006 0.006
sd_γ_0 100 0 0.024 0.001 0.021 0.024 0.029
sd_γ_1 100 0 0.055 0.004 0.047 0.055 0.066
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.002 0.094 9.754 10.008 10.219
α_1 100 0 −0.994 0.269 −1.531 −0.992 −0.298
α_2 100 0 −1.001 0.032 −1.076 −0.999 −0.908
α_3 100 0 1.000 0.021 0.955 0.997 1.054
γ_0 100 0 1.179 0.112 0.915 1.188 1.510
γ_1 100 0 1.841 0.137 1.416 1.835 2.245
γ_2 100 0 0.979 0.020 0.933 0.979 1.024
γ_3 100 0 0.978 0.019 0.936 0.981 1.018
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.006 0.000 0.006 0.006 0.006
sd_α_1 100 0 0.050 0.001 0.048 0.050 0.053
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.005
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.003
sd_γ_0 100 0 0.010 0.000 0.008 0.010 0.011
sd_γ_1 100 0 0.022 0.001 0.018 0.022 0.025
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.721 8.034 9.826 12.227
α_1 100 0 −0.732 12.626 −31.383 −1.279 30.189
α_2 100 0 −5.012 1.345 −8.509 −4.866 −2.416
α_3 100 0 1.007 0.213 0.575 0.995 1.646
γ_0 100 0 1.273 1.349 −2.350 1.614 3.719
γ_1 100 0 7.997 9.275 −8.351 6.495 35.737
γ_2 100 0 0.973 0.225 0.574 0.911 1.603
γ_3 100 0 0.969 0.198 0.586 0.936 1.552
θ 100 0 0.078 0.128 0.000 0.000 0.480
sd_α_0 100 0 0.690 0.143 0.438 0.670 1.127
sd_α_1 100 0 25.104 4.655 14.753 24.203 39.742
sd_α_2 100 0 2.633 0.475 1.648 2.568 4.178
sd_α_3 100 0 0.270 0.048 0.159 0.264 0.389
sd_γ_0 100 0 1.061 0.376 0.454 0.976 2.338
sd_γ_1 100 0 9.974 5.325 3.100 9.188 41.959
sd_γ_2 100 0 0.035 0.010 0.020 0.032 0.058
sd_γ_3 100 0 0.039 0.008 0.023 0.037 0.065
sd_θ 100 0 0.104 0.036 0.042 0.093 0.219
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.567 8.736 9.990 11.303
α_1 100 0 −1.609 10.753 −38.203 −1.950 29.624
α_2 100 0 −4.877 1.207 −9.029 −4.847 −1.285
α_3 100 0 1.003 0.133 0.770 0.995 1.363
γ_0 100 0 1.274 0.746 −1.463 1.382 3.073
γ_1 100 0 5.604 5.665 −3.940 4.701 25.385
γ_2 100 0 0.974 0.118 0.690 0.959 1.335
γ_3 100 0 0.987 0.136 0.659 0.996 1.437
θ 100 0 0.027 0.066 0.000 0.000 0.318
sd_α_0 100 0 0.334 0.055 0.214 0.337 0.462
sd_α_1 100 0 11.864 1.645 8.892 11.857 16.923
sd_α_2 100 0 1.248 0.167 0.945 1.236 1.872
sd_α_3 100 0 0.131 0.019 0.091 0.129 0.192
sd_γ_0 100 0 0.480 0.103 0.282 0.480 0.736
sd_γ_1 100 0 4.807 2.586 2.238 4.317 20.009
sd_γ_2 100 0 0.017 0.003 0.011 0.017 0.026
sd_γ_3 100 0 0.019 0.003 0.014 0.019 0.031
sd_θ 100 0 0.047 0.010 0.029 0.048 0.074
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.030 0.447 8.912 9.959 11.050
α_1 100 0 −0.800 6.976 −18.238 −0.746 16.810
α_2 100 0 −5.048 0.844 −7.572 −5.046 −3.433
α_3 100 0 1.011 0.106 0.760 1.009 1.282
γ_0 100 0 1.194 0.595 −0.377 1.230 2.413
γ_1 100 0 6.028 4.562 −1.735 5.500 22.499
γ_2 100 0 0.983 0.097 0.798 0.972 1.250
γ_3 100 0 0.984 0.094 0.752 0.979 1.235
θ 100 0 0.025 0.062 0.000 0.000 0.308
sd_α_0 100 0 0.165 0.022 0.127 0.165 0.228
sd_α_1 100 0 5.882 0.578 4.154 5.922 7.482
sd_α_2 100 0 0.619 0.060 0.448 0.624 0.805
sd_α_3 100 0 0.065 0.007 0.053 0.064 0.079
sd_γ_0 100 0 0.248 0.050 0.159 0.244 0.368
sd_γ_1 100 0 2.262 0.660 1.045 2.181 4.273
sd_γ_2 100 0 0.008 0.001 0.007 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.024 0.005 0.014 0.024 0.036
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.183 9.653 9.977 10.385
α_1 100 0 −1.291 2.956 −7.205 −1.479 5.136
α_2 100 0 −4.973 0.360 −5.969 −4.986 −4.186
α_3 100 0 1.008 0.041 0.921 1.010 1.142
γ_0 100 0 1.161 0.266 0.403 1.159 1.810
γ_1 100 0 5.069 1.479 1.778 5.063 9.339
γ_2 100 0 0.983 0.043 0.854 0.985 1.076
γ_3 100 0 0.983 0.037 0.893 0.984 1.075
θ 100 0 0.001 0.007 0.000 0.000 0.067
sd_α_0 100 0 0.033 0.002 0.029 0.033 0.037
sd_α_1 100 0 1.162 0.048 1.045 1.166 1.252
sd_α_2 100 0 0.122 0.005 0.109 0.122 0.131
sd_α_3 100 0 0.013 0.001 0.011 0.013 0.014
sd_γ_0 100 0 0.049 0.004 0.039 0.049 0.062
sd_γ_1 100 0 0.437 0.052 0.329 0.430 0.596
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.985 0.133 9.706 9.966 10.504
α_1 100 0 −0.858 2.075 −6.281 −0.888 4.874
α_2 100 0 −4.998 0.252 −5.689 −4.956 −4.389
α_3 100 0 0.998 0.028 0.949 0.999 1.086
γ_0 100 0 1.225 0.166 0.823 1.232 1.718
γ_1 100 0 4.689 1.023 1.960 4.591 7.408
γ_2 100 0 0.975 0.026 0.915 0.974 1.033
γ_3 100 0 0.978 0.032 0.900 0.982 1.067
θ 100 0 0.001 0.004 0.000 0.000 0.024
sd_α_0 100 0 0.016 0.001 0.014 0.016 0.018
sd_α_1 100 0 0.576 0.017 0.536 0.573 0.628
sd_α_2 100 0 0.061 0.002 0.056 0.060 0.066
sd_α_3 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_0 100 0 0.024 0.002 0.020 0.024 0.033
sd_γ_1 100 0 0.213 0.021 0.174 0.212 0.317
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.086 9.818 9.988 10.300
α_1 100 0 −0.973 1.200 −3.804 −0.997 1.703
α_2 100 0 −5.003 0.145 −5.338 −5.007 −4.683
α_3 100 0 1.001 0.020 0.954 0.999 1.047
γ_0 100 0 1.215 0.115 0.991 1.214 1.520
γ_1 100 0 4.703 0.703 3.044 4.663 6.120
γ_2 100 0 0.976 0.018 0.928 0.975 1.010
γ_3 100 0 0.975 0.018 0.925 0.976 1.019
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_α_1 100 0 0.231 0.004 0.222 0.231 0.248
sd_α_2 100 0 0.024 0.000 0.023 0.024 0.026
sd_α_3 100 0 0.003 0.000 0.002 0.003 0.003
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.010
sd_γ_1 100 0 0.085 0.004 0.076 0.085 0.096
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.009 0.849 8.005 9.985 12.852
α_1 100 0 1.334 57.303 −170.300 4.268 166.001
α_2 100 0 −20.221 6.912 −41.702 −19.854 −0.669
α_3 100 0 0.983 0.197 0.505 0.978 1.448
γ_0 100 0 1.299 1.392 −5.260 1.502 4.157
γ_1 100 0 24.972 37.855 −47.943 15.692 182.284
γ_2 100 0 0.975 0.197 0.517 0.973 1.616
γ_3 100 0 0.992 0.250 0.569 0.959 2.242
θ 100 0 0.067 0.129 0.000 0.000 0.520
sd_α_0 100 0 0.703 0.192 0.369 0.675 1.345
sd_α_1 100 0 97.393 18.561 55.757 96.096 146.215
sd_α_2 100 0 10.319 1.926 6.006 10.208 15.654
sd_α_3 100 0 0.278 0.055 0.187 0.276 0.467
sd_γ_0 100 0 1.060 0.414 0.397 0.960 3.088
sd_γ_1 100 0 53.515 154.468 14.080 31.560 1568.816
sd_γ_2 100 0 0.036 0.010 0.018 0.035 0.088
sd_γ_3 100 0 0.040 0.009 0.024 0.039 0.084
sd_θ 100 0 0.103 0.041 0.037 0.094 0.314
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.136 0.644 8.713 10.140 11.647
α_1 100 0 0.463 41.128 −130.323 −0.213 102.521
α_2 100 0 −20.640 4.822 −31.189 −20.220 −8.791
α_3 100 0 1.009 0.145 0.699 1.004 1.313
γ_0 100 0 1.194 0.971 −2.376 1.305 2.985
γ_1 100 0 23.763 25.705 −31.540 18.665 91.148
γ_2 100 0 0.985 0.161 0.669 0.968 1.485
γ_3 100 0 0.969 0.143 0.651 0.969 1.335
θ 100 0 0.046 0.082 0.000 0.000 0.341
sd_α_0 100 0 0.358 0.065 0.233 0.349 0.572
sd_α_1 100 0 48.555 6.615 32.109 48.866 65.118
sd_α_2 100 0 5.106 0.684 3.388 5.093 6.864
sd_α_3 100 0 0.138 0.018 0.096 0.137 0.202
sd_γ_0 100 0 0.493 0.109 0.241 0.487 0.763
sd_γ_1 100 0 17.714 6.016 7.704 16.564 35.291
sd_γ_2 100 0 0.016 0.003 0.011 0.016 0.030
sd_γ_3 100 0 0.019 0.003 0.013 0.019 0.027
sd_θ 100 0 0.048 0.011 0.023 0.047 0.076
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.963 0.437 9.013 9.902 11.204
α_1 100 0 3.256 26.239 −61.611 0.447 73.104
α_2 100 0 −20.285 3.231 −30.019 −20.306 −13.759
α_3 100 0 0.998 0.111 0.765 0.996 1.329
γ_0 100 0 1.245 0.572 −0.117 1.232 2.576
γ_1 100 0 18.556 15.740 −6.454 16.930 98.402
γ_2 100 0 0.973 0.090 0.691 0.967 1.169
γ_3 100 0 0.982 0.095 0.788 0.981 1.208
θ 100 0 0.018 0.053 0.000 0.000 0.378
sd_α_0 100 0 0.167 0.021 0.120 0.167 0.230
sd_α_1 100 0 22.937 2.178 17.672 22.748 29.192
sd_α_2 100 0 2.423 0.225 1.951 2.412 3.148
sd_α_3 100 0 0.065 0.007 0.052 0.064 0.086
sd_γ_0 100 0 0.237 0.046 0.167 0.229 0.416
sd_γ_1 100 0 8.169 2.263 3.897 7.747 16.431
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.013
sd_θ 100 0 0.023 0.005 0.016 0.023 0.041
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.995 0.207 9.460 10.015 10.476
α_1 100 0 −0.251 10.457 −21.523 −2.316 23.319
α_2 100 0 −20.076 1.288 −23.231 −19.948 −16.737
α_3 100 0 0.999 0.049 0.851 0.997 1.119
γ_0 100 0 1.170 0.292 0.369 1.194 1.833
γ_1 100 0 16.793 6.392 1.333 16.754 33.095
γ_2 100 0 0.983 0.044 0.898 0.975 1.105
γ_3 100 0 0.986 0.039 0.900 0.985 1.094
θ 100 0 0.002 0.007 0.000 0.000 0.039
sd_α_0 100 0 0.033 0.002 0.028 0.033 0.037
sd_α_1 100 0 4.558 0.219 3.954 4.543 4.987
sd_α_2 100 0 0.480 0.022 0.419 0.479 0.522
sd_α_3 100 0 0.013 0.001 0.011 0.013 0.014
sd_γ_0 100 0 0.048 0.004 0.037 0.047 0.060
sd_γ_1 100 0 1.622 0.189 1.219 1.619 2.192
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.142 9.640 9.988 10.326
α_1 100 0 −0.453 8.219 −15.929 −0.204 19.675
α_2 100 0 −20.017 0.956 −22.606 −20.057 −17.485
α_3 100 0 0.995 0.034 0.903 0.992 1.085
γ_0 100 0 1.244 0.178 0.795 1.253 1.663
γ_1 100 0 15.641 4.527 6.087 15.547 24.716
γ_2 100 0 0.968 0.026 0.892 0.970 1.042
γ_3 100 0 0.977 0.028 0.922 0.979 1.037
θ 100 0 0.001 0.005 0.000 0.000 0.045
sd_α_0 100 0 0.017 0.001 0.015 0.017 0.018
sd_α_1 100 0 2.275 0.078 2.094 2.272 2.537
sd_α_2 100 0 0.240 0.008 0.221 0.239 0.266
sd_α_3 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_0 100 0 0.024 0.002 0.021 0.024 0.028
sd_γ_1 100 0 0.819 0.076 0.638 0.814 1.010
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.091 9.785 9.992 10.190
α_1 100 0 −0.643 4.690 −11.030 −0.769 10.223
α_2 100 0 −20.054 0.586 −21.517 −20.051 −18.926
α_3 100 0 1.001 0.020 0.945 1.003 1.045
γ_0 100 0 1.228 0.118 0.954 1.231 1.593
γ_1 100 0 15.518 2.571 6.167 15.599 21.352
γ_2 100 0 0.973 0.019 0.927 0.972 1.017
γ_3 100 0 0.976 0.019 0.939 0.975 1.025
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_α_1 100 0 0.907 0.019 0.862 0.907 0.953
sd_α_2 100 0 0.096 0.002 0.091 0.095 0.100
sd_α_3 100 0 0.003 0.000 0.002 0.003 0.003
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.324 0.017 0.282 0.324 0.372
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.2\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.075 1.011 7.398 10.061 13.437
α_1 100 0 −1.091 0.872 −5.993 −1.004 0.569
α_2 100 0 −0.095 0.088 −0.283 −0.097 0.270
α_3 100 0 1.004 0.238 0.588 0.981 1.694
γ_0 100 0 0.975 1.310 −2.417 1.207 3.679
γ_1 100 0 1.865 0.900 0.416 1.596 4.982
γ_2 100 0 0.999 0.199 0.600 0.981 1.437
γ_3 100 0 0.995 0.203 0.412 0.971 1.513
θ 100 0 0.241 0.379 0.000 0.000 1.000
sd_α_0 100 0 0.476 0.166 0.115 0.456 1.022
sd_α_1 100 0 0.992 0.270 0.363 0.941 1.724
sd_α_2 100 0 0.099 0.026 0.037 0.095 0.183
sd_α_3 100 0 0.180 0.056 0.052 0.176 0.379
sd_γ_0 100 0 1.205 0.355 0.440 1.204 2.090
sd_γ_1 100 0 4.886 14.875 0.236 1.233 137.480
sd_γ_2 100 0 0.035 0.008 0.013 0.034 0.061
sd_γ_3 100 0 0.040 0.009 0.021 0.039 0.073
sd_θ 100 0 0.118 0.036 0.046 0.117 0.215
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.926 0.661 8.653 9.862 11.727
α_1 100 0 −0.794 0.635 −2.855 −0.785 0.550
α_2 100 0 −0.117 0.064 −0.357 −0.113 0.036
α_3 100 0 1.000 0.145 0.676 0.988 1.460
γ_0 100 0 1.067 0.879 −1.162 1.123 2.758
γ_1 100 0 1.629 0.587 0.826 1.487 3.402
γ_2 100 0 0.995 0.136 0.691 0.979 1.356
γ_3 100 0 1.008 0.133 0.605 1.005 1.413
θ 100 0 0.142 0.283 0.000 0.000 1.000
sd_α_0 100 0 0.216 0.049 0.128 0.206 0.346
sd_α_1 100 0 0.467 0.088 0.283 0.462 0.646
sd_α_2 100 0 0.047 0.009 0.029 0.046 0.067
sd_α_3 100 0 0.085 0.017 0.056 0.085 0.131
sd_γ_0 100 0 0.514 0.112 0.265 0.497 0.918
sd_γ_1 100 0 0.665 0.744 0.189 0.473 6.404
sd_γ_2 100 0 0.017 0.003 0.011 0.017 0.024
sd_γ_3 100 0 0.020 0.003 0.013 0.020 0.028
sd_θ 100 0 0.050 0.011 0.026 0.048 0.091
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.959 0.434 8.882 9.918 11.708
α_1 100 0 −0.941 0.458 −2.347 −0.949 0.074
α_2 100 0 −0.104 0.043 −0.237 −0.102 0.022
α_3 100 0 1.001 0.102 0.755 0.998 1.358
γ_0 100 0 1.084 0.684 −1.005 1.106 2.593
γ_1 100 0 1.548 0.455 0.917 1.444 3.446
γ_2 100 0 0.990 0.111 0.712 0.973 1.284
γ_3 100 0 0.991 0.098 0.735 0.991 1.212
θ 100 0 0.084 0.194 0.000 0.000 1.000
sd_α_0 100 0 0.107 0.017 0.069 0.107 0.162
sd_α_1 100 0 0.235 0.031 0.164 0.229 0.359
sd_α_2 100 0 0.023 0.003 0.017 0.023 0.035
sd_α_3 100 0 0.042 0.006 0.031 0.042 0.062
sd_γ_0 100 0 0.267 0.041 0.191 0.262 0.389
sd_γ_1 100 0 0.357 0.431 0.106 0.277 4.223
sd_γ_2 100 0 0.009 0.001 0.007 0.009 0.012
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.011
sd_θ 100 0 0.026 0.004 0.019 0.026 0.038
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.031 0.176 9.642 10.023 10.461
α_1 100 0 −1.010 0.190 −1.701 −1.021 −0.643
α_2 100 0 −0.101 0.019 −0.152 −0.098 −0.043
α_3 100 0 1.008 0.037 0.932 1.008 1.111
γ_0 100 0 1.095 0.326 0.298 1.091 2.112
γ_1 100 0 1.397 0.128 1.045 1.404 1.761
γ_2 100 0 0.986 0.049 0.842 0.986 1.110
γ_3 100 0 0.987 0.045 0.874 0.990 1.107
θ 100 0 0.013 0.042 0.000 0.000 0.243
sd_α_0 100 0 0.022 0.001 0.018 0.022 0.026
sd_α_1 100 0 0.047 0.002 0.042 0.047 0.052
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.008 0.000 0.008 0.008 0.010
sd_γ_0 100 0 0.053 0.005 0.043 0.054 0.068
sd_γ_1 100 0 0.059 0.017 0.036 0.057 0.174
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.007
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.132 9.671 10.024 10.394
α_1 100 0 −1.011 0.132 −1.329 −1.015 −0.646
α_2 100 0 −0.099 0.012 −0.137 −0.098 −0.069
α_3 100 0 0.999 0.030 0.918 1.001 1.077
γ_0 100 0 1.030 0.201 0.489 1.053 1.533
γ_1 100 0 1.397 0.083 1.228 1.387 1.765
γ_2 100 0 0.996 0.030 0.919 0.994 1.059
γ_3 100 0 0.996 0.031 0.914 0.994 1.067
θ 100 0 0.004 0.020 0.000 0.000 0.166
sd_α_0 100 0 0.011 0.001 0.010 0.011 0.012
sd_α_1 100 0 0.023 0.001 0.021 0.023 0.026
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.004 0.000 0.004 0.004 0.005
sd_γ_0 100 0 0.027 0.002 0.023 0.027 0.031
sd_γ_1 100 0 0.029 0.004 0.020 0.029 0.046
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.995 0.092 9.780 10.005 10.230
α_1 100 0 −0.988 0.087 −1.212 −0.990 −0.790
α_2 100 0 −0.101 0.008 −0.120 −0.101 −0.081
α_3 100 0 0.999 0.021 0.942 0.998 1.052
γ_0 100 0 1.057 0.115 0.771 1.053 1.324
γ_1 100 0 1.376 0.042 1.260 1.373 1.470
γ_2 100 0 0.995 0.018 0.955 0.994 1.041
γ_3 100 0 0.994 0.018 0.949 0.990 1.041
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.004 0.000 0.004 0.004 0.005
sd_α_1 100 0 0.009 0.000 0.009 0.009 0.010
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.011 0.000 0.010 0.011 0.012
sd_γ_1 100 0 0.011 0.001 0.009 0.011 0.014
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.931 0.852 7.610 9.913 12.363
α_1 100 0 −0.945 2.071 −6.752 −0.842 5.565
α_2 100 0 −0.494 0.218 −1.175 −0.491 0.055
α_3 100 0 0.991 0.212 0.508 0.965 1.470
γ_0 100 0 1.473 1.199 −2.963 1.676 4.386
γ_1 100 0 2.210 1.242 −0.525 2.125 6.217
γ_2 100 0 0.932 0.178 0.528 0.906 1.422
γ_3 100 0 0.932 0.196 0.506 0.925 1.503
θ 100 0 0.068 0.131 0.000 0.000 0.539
sd_α_0 100 0 0.575 0.166 0.265 0.543 1.178
sd_α_1 100 0 2.828 0.688 1.051 2.754 4.746
sd_α_2 100 0 0.292 0.069 0.111 0.289 0.486
sd_α_3 100 0 0.220 0.050 0.102 0.219 0.344
sd_γ_0 100 0 0.983 0.321 0.396 0.961 2.113
sd_γ_1 100 0 2.109 2.834 0.458 1.508 24.126
sd_γ_2 100 0 0.032 0.008 0.017 0.031 0.066
sd_γ_3 100 0 0.037 0.008 0.021 0.036 0.057
sd_θ 100 0 0.097 0.032 0.039 0.094 0.197
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.609 8.668 9.966 11.644
α_1 100 0 −0.873 1.411 −4.144 −0.841 2.676
α_2 100 0 −0.514 0.145 −1.042 −0.512 −0.207
α_3 100 0 1.013 0.139 0.662 1.010 1.360
γ_0 100 0 1.337 0.817 −0.893 1.442 2.829
γ_1 100 0 2.097 0.852 0.558 2.007 5.277
γ_2 100 0 0.965 0.133 0.658 0.962 1.285
γ_3 100 0 0.956 0.134 0.710 0.935 1.314
θ 100 0 0.039 0.098 0.000 0.000 0.511
sd_α_0 100 0 0.276 0.055 0.183 0.266 0.423
sd_α_1 100 0 1.429 0.234 0.968 1.406 2.030
sd_α_2 100 0 0.147 0.023 0.102 0.146 0.217
sd_α_3 100 0 0.107 0.017 0.074 0.106 0.157
sd_γ_0 100 0 0.511 0.132 0.263 0.485 1.011
sd_γ_1 100 0 0.829 0.352 0.280 0.758 1.891
sd_γ_2 100 0 0.016 0.003 0.011 0.016 0.026
sd_γ_3 100 0 0.019 0.003 0.014 0.018 0.029
sd_θ 100 0 0.050 0.013 0.025 0.047 0.100
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.971 0.392 9.083 9.932 11.142
α_1 100 0 −0.983 1.008 −3.446 −1.021 1.916
α_2 100 0 −0.498 0.106 −0.800 −0.489 −0.255
α_3 100 0 0.983 0.095 0.814 0.981 1.286
γ_0 100 0 1.141 0.628 −0.327 1.110 2.712
γ_1 100 0 2.137 0.620 0.554 2.185 4.138
γ_2 100 0 0.984 0.087 0.776 0.981 1.214
γ_3 100 0 0.989 0.093 0.782 0.993 1.211
θ 100 0 0.012 0.047 0.000 0.000 0.289
sd_α_0 100 0 0.136 0.018 0.105 0.134 0.200
sd_α_1 100 0 0.695 0.067 0.554 0.695 0.839
sd_α_2 100 0 0.072 0.007 0.058 0.071 0.087
sd_α_3 100 0 0.052 0.006 0.040 0.052 0.068
sd_γ_0 100 0 0.262 0.045 0.175 0.262 0.369
sd_γ_1 100 0 0.419 0.121 0.199 0.408 0.760
sd_γ_2 100 0 0.008 0.001 0.007 0.008 0.011
sd_γ_3 100 0 0.010 0.001 0.007 0.010 0.013
sd_θ 100 0 0.026 0.004 0.018 0.026 0.037
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.028 0.204 9.613 10.024 10.608
α_1 100 0 −1.011 0.439 −2.029 −1.018 −0.159
α_2 100 0 −0.503 0.053 −0.622 −0.510 −0.384
α_3 100 0 1.010 0.046 0.915 1.012 1.112
γ_0 100 0 1.252 0.277 0.497 1.246 2.199
γ_1 100 0 1.977 0.250 1.219 1.978 2.970
γ_2 100 0 0.971 0.043 0.841 0.969 1.103
γ_3 100 0 0.972 0.037 0.864 0.970 1.064
θ 100 0 0.002 0.018 0.000 0.000 0.181
sd_α_0 100 0 0.027 0.002 0.024 0.027 0.031
sd_α_1 100 0 0.138 0.007 0.122 0.138 0.158
sd_α_2 100 0 0.014 0.001 0.013 0.014 0.016
sd_α_3 100 0 0.010 0.001 0.009 0.010 0.012
sd_γ_0 100 0 0.050 0.005 0.040 0.050 0.065
sd_γ_1 100 0 0.077 0.011 0.053 0.076 0.105
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.135 9.705 9.999 10.503
α_1 100 0 −1.015 0.304 −1.931 −1.053 −0.296
α_2 100 0 −0.499 0.031 −0.592 −0.495 −0.434
α_3 100 0 1.002 0.030 0.923 1.002 1.124
γ_0 100 0 1.253 0.200 0.737 1.228 1.712
γ_1 100 0 1.970 0.171 1.566 1.977 2.385
γ_2 100 0 0.971 0.030 0.892 0.974 1.040
γ_3 100 0 0.972 0.029 0.888 0.970 1.061
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.013 0.001 0.012 0.013 0.015
sd_α_1 100 0 0.069 0.002 0.063 0.069 0.076
sd_α_2 100 0 0.007 0.000 0.007 0.007 0.008
sd_α_3 100 0 0.005 0.000 0.005 0.005 0.006
sd_γ_0 100 0 0.025 0.002 0.021 0.025 0.029
sd_γ_1 100 0 0.038 0.004 0.030 0.038 0.049
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.086 9.814 9.999 10.170
α_1 100 0 −1.027 0.208 −1.535 −1.011 −0.573
α_2 100 0 −0.498 0.024 −0.558 −0.498 −0.444
α_3 100 0 1.001 0.021 0.959 0.999 1.056
γ_0 100 0 1.256 0.145 0.821 1.255 1.647
γ_1 100 0 1.963 0.123 1.636 1.952 2.284
γ_2 100 0 0.971 0.020 0.926 0.972 1.031
γ_3 100 0 0.969 0.022 0.917 0.971 1.036
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_1 100 0 0.027 0.001 0.026 0.027 0.029
sd_α_2 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.015 0.001 0.013 0.015 0.018
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.040 1.033 8.325 9.983 14.154
α_1 100 0 −0.732 3.527 −13.497 −0.989 7.984
α_2 100 0 −1.034 0.395 −2.165 −0.982 0.040
α_3 100 0 1.018 0.228 0.547 1.015 2.066
γ_0 100 0 1.346 1.236 −3.283 1.485 3.834
γ_1 100 0 3.534 2.628 −0.621 2.949 16.236
γ_2 100 0 0.963 0.198 0.576 0.946 1.701
γ_3 100 0 0.975 0.187 0.534 0.939 1.487
θ 100 0 0.087 0.198 0.000 0.000 1.000
sd_α_0 100 0 0.624 0.203 0.312 0.566 1.634
sd_α_1 100 0 5.334 1.298 2.790 5.127 10.719
sd_α_2 100 0 0.561 0.132 0.305 0.537 1.074
sd_α_3 100 0 0.239 0.060 0.145 0.232 0.500
sd_γ_0 100 0 1.041 0.430 0.509 0.966 2.770
sd_γ_1 100 0 3.850 11.368 0.785 2.376 114.813
sd_γ_2 100 0 0.035 0.007 0.017 0.034 0.057
sd_γ_3 100 0 0.038 0.008 0.022 0.037 0.064
sd_θ 100 0 0.102 0.042 0.051 0.092 0.276
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.888 0.665 8.647 9.810 11.863
α_1 100 0 −1.235 2.322 −5.977 −1.410 4.598
α_2 100 0 −0.950 0.277 −1.804 −0.969 −0.235
α_3 100 0 0.979 0.162 0.634 0.967 1.363
γ_0 100 0 1.399 0.839 −0.948 1.379 3.294
γ_1 100 0 3.149 1.712 0.374 2.816 8.883
γ_2 100 0 0.949 0.128 0.636 0.964 1.394
γ_3 100 0 0.967 0.140 0.645 0.958 1.308
θ 100 0 0.050 0.117 0.000 0.000 0.645
sd_α_0 100 0 0.287 0.060 0.178 0.277 0.467
sd_α_1 100 0 2.528 0.381 1.708 2.487 3.630
sd_α_2 100 0 0.263 0.039 0.182 0.264 0.397
sd_α_3 100 0 0.111 0.018 0.078 0.110 0.189
sd_γ_0 100 0 0.518 0.127 0.289 0.497 0.794
sd_γ_1 100 0 1.401 0.640 0.569 1.267 4.950
sd_γ_2 100 0 0.017 0.003 0.011 0.017 0.025
sd_γ_3 100 0 0.019 0.003 0.013 0.018 0.028
sd_θ 100 0 0.051 0.013 0.029 0.049 0.078
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.402 9.067 9.978 10.821
α_1 100 0 −0.892 1.662 −5.197 −0.818 2.511
α_2 100 0 −1.010 0.174 −1.376 −1.021 −0.651
α_3 100 0 1.008 0.093 0.737 1.010 1.240
γ_0 100 0 1.249 0.624 −0.680 1.326 2.381
γ_1 100 0 2.868 0.929 1.087 2.743 6.139
γ_2 100 0 0.979 0.099 0.768 0.965 1.352
γ_3 100 0 0.972 0.086 0.817 0.964 1.259
θ 100 0 0.012 0.037 0.000 0.000 0.195
sd_α_0 100 0 0.142 0.019 0.105 0.141 0.191
sd_α_1 100 0 1.262 0.135 1.008 1.238 1.664
sd_α_2 100 0 0.131 0.013 0.105 0.130 0.167
sd_α_3 100 0 0.057 0.006 0.044 0.056 0.071
sd_γ_0 100 0 0.239 0.049 0.152 0.235 0.496
sd_γ_1 100 0 0.584 0.177 0.238 0.549 1.436
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.013
sd_θ 100 0 0.023 0.005 0.015 0.023 0.048
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.988 0.171 9.578 9.975 10.431
α_1 100 0 −0.821 0.715 −2.254 −0.789 0.816
α_2 100 0 −1.015 0.078 −1.272 −1.014 −0.850
α_3 100 0 0.997 0.042 0.893 1.000 1.083
γ_0 100 0 1.295 0.268 0.578 1.296 1.842
γ_1 100 0 2.735 0.403 1.803 2.697 3.946
γ_2 100 0 0.967 0.040 0.865 0.968 1.065
γ_3 100 0 0.967 0.039 0.867 0.967 1.052
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.028 0.001 0.025 0.028 0.033
sd_α_1 100 0 0.248 0.010 0.230 0.249 0.274
sd_α_2 100 0 0.026 0.001 0.024 0.026 0.029
sd_α_3 100 0 0.011 0.000 0.010 0.011 0.012
sd_γ_0 100 0 0.049 0.004 0.040 0.049 0.060
sd_γ_1 100 0 0.116 0.013 0.090 0.115 0.148
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.145 9.645 9.980 10.376
α_1 100 0 −1.038 0.491 −2.282 −1.017 −0.048
α_2 100 0 −0.995 0.058 −1.122 −0.986 −0.795
α_3 100 0 1.000 0.032 0.908 1.001 1.091
γ_0 100 0 1.282 0.196 0.760 1.299 1.886
γ_1 100 0 2.743 0.294 1.672 2.769 3.619
γ_2 100 0 0.969 0.031 0.910 0.968 1.040
γ_3 100 0 0.966 0.030 0.875 0.963 1.060
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.014 0.001 0.013 0.014 0.016
sd_α_1 100 0 0.125 0.005 0.114 0.125 0.136
sd_α_2 100 0 0.013 0.000 0.012 0.013 0.014
sd_α_3 100 0 0.005 0.000 0.005 0.005 0.006
sd_γ_0 100 0 0.024 0.002 0.020 0.024 0.028
sd_γ_1 100 0 0.060 0.005 0.049 0.059 0.073
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.080 9.850 9.989 10.241
α_1 100 0 −0.987 0.308 −2.050 −0.955 −0.308
α_2 100 0 −0.999 0.032 −1.083 −1.004 −0.921
α_3 100 0 0.999 0.020 0.950 0.998 1.046
γ_0 100 0 1.318 0.119 1.048 1.313 1.595
γ_1 100 0 2.679 0.183 2.202 2.702 3.007
γ_2 100 0 0.966 0.018 0.922 0.964 1.014
γ_3 100 0 0.963 0.019 0.904 0.962 1.002
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.006 0.000 0.005 0.006 0.006
sd_α_1 100 0 0.050 0.001 0.048 0.050 0.053
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.023 0.001 0.021 0.023 0.026
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.002 1.058 7.983 9.898 14.800
α_1 100 0 −1.377 15.017 −38.341 −0.894 48.230
α_2 100 0 −4.940 1.918 −15.191 −4.849 −0.544
α_3 100 0 1.006 0.242 0.572 0.991 2.311
γ_0 100 0 1.362 1.329 −2.025 1.561 3.866
γ_1 100 0 10.422 8.350 −7.605 10.410 32.063
γ_2 100 0 0.970 0.225 0.534 0.934 1.557
γ_3 100 0 0.969 0.171 0.618 0.964 1.419
θ 100 0 0.045 0.120 0.000 0.000 0.854
sd_α_0 100 0 0.651 0.172 0.366 0.627 1.248
sd_α_1 100 0 24.419 6.766 12.621 23.525 62.401
sd_α_2 100 0 2.578 0.710 1.382 2.496 6.668
sd_α_3 100 0 0.249 0.060 0.099 0.241 0.509
sd_γ_0 100 0 0.994 0.332 0.408 0.969 1.863
sd_γ_1 100 0 11.217 9.285 2.876 9.377 86.179
sd_γ_2 100 0 0.036 0.010 0.020 0.035 0.062
sd_γ_3 100 0 0.039 0.007 0.024 0.037 0.056
sd_θ 100 0 0.097 0.033 0.037 0.096 0.187
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.019 0.671 8.679 10.062 12.231
α_1 100 0 −2.664 10.353 −33.037 −1.161 18.538
α_2 100 0 −4.837 1.178 −7.383 −4.857 −1.936
α_3 100 0 1.002 0.139 0.698 0.996 1.357
γ_0 100 0 1.484 0.851 −1.200 1.524 3.016
γ_1 100 0 8.917 5.535 −2.280 7.869 23.912
γ_2 100 0 0.939 0.146 0.550 0.934 1.420
γ_3 100 0 0.942 0.149 0.654 0.936 1.285
θ 100 0 0.019 0.048 0.000 0.000 0.298
sd_α_0 100 0 0.311 0.059 0.194 0.310 0.479
sd_α_1 100 0 11.818 1.749 7.961 11.862 18.191
sd_α_2 100 0 1.244 0.179 0.879 1.239 1.928
sd_α_3 100 0 0.123 0.021 0.079 0.118 0.181
sd_γ_0 100 0 0.476 0.116 0.241 0.473 0.787
sd_γ_1 100 0 5.043 2.499 1.974 4.729 19.434
sd_γ_2 100 0 0.016 0.003 0.009 0.016 0.026
sd_γ_3 100 0 0.018 0.003 0.012 0.018 0.026
sd_θ 100 0 0.047 0.011 0.024 0.046 0.075
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.955 0.387 9.235 9.913 11.116
α_1 100 0 −0.953 6.612 −18.557 −1.011 20.606
α_2 100 0 −4.949 0.771 −7.343 −4.930 −3.250
α_3 100 0 0.980 0.087 0.739 0.973 1.348
γ_0 100 0 1.406 0.604 −0.522 1.476 2.583
γ_1 100 0 8.621 4.082 0.383 8.299 20.161
γ_2 100 0 0.957 0.093 0.754 0.956 1.237
γ_3 100 0 0.949 0.092 0.717 0.950 1.198
θ 100 0 0.005 0.025 0.000 0.000 0.171
sd_α_0 100 0 0.149 0.017 0.107 0.147 0.209
sd_α_1 100 0 5.735 0.545 4.609 5.716 7.120
sd_α_2 100 0 0.603 0.053 0.488 0.601 0.745
sd_α_3 100 0 0.058 0.006 0.046 0.057 0.072
sd_γ_0 100 0 0.227 0.042 0.136 0.224 0.429
sd_γ_1 100 0 2.245 0.554 1.240 2.164 4.051
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.022 0.004 0.013 0.022 0.041
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.982 0.193 9.560 9.971 10.435
α_1 100 0 −1.092 3.330 −7.706 −0.974 6.629
α_2 100 0 −4.972 0.378 −5.920 −5.007 −4.148
α_3 100 0 0.992 0.049 0.891 0.986 1.130
γ_0 100 0 1.363 0.287 0.387 1.391 1.941
γ_1 100 0 8.657 1.925 4.278 8.548 14.994
γ_2 100 0 0.960 0.042 0.863 0.958 1.090
γ_3 100 0 0.966 0.042 0.871 0.959 1.077
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.030 0.002 0.025 0.030 0.034
sd_α_1 100 0 1.144 0.053 1.007 1.148 1.260
sd_α_2 100 0 0.120 0.005 0.109 0.120 0.131
sd_α_3 100 0 0.012 0.001 0.010 0.012 0.013
sd_γ_0 100 0 0.047 0.004 0.034 0.047 0.057
sd_γ_1 100 0 0.465 0.063 0.260 0.455 0.638
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.003 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.134 9.692 10.002 10.278
α_1 100 0 −1.050 2.303 −6.791 −1.026 6.558
α_2 100 0 −4.995 0.248 −5.820 −4.964 −4.188
α_3 100 0 1.002 0.030 0.929 1.001 1.072
γ_0 100 0 1.379 0.179 0.896 1.371 1.705
γ_1 100 0 8.502 1.103 6.536 8.457 11.362
γ_2 100 0 0.959 0.030 0.887 0.960 1.049
γ_3 100 0 0.951 0.028 0.872 0.957 1.016
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.015 0.001 0.014 0.015 0.016
sd_α_1 100 0 0.575 0.020 0.535 0.574 0.625
sd_α_2 100 0 0.061 0.002 0.056 0.060 0.066
sd_α_3 100 0 0.006 0.000 0.005 0.006 0.006
sd_γ_0 100 0 0.024 0.001 0.020 0.024 0.029
sd_γ_1 100 0 0.231 0.020 0.192 0.231 0.292
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.084 9.818 10.003 10.194
α_1 100 0 −0.896 1.299 −4.193 −1.018 2.603
α_2 100 0 −5.009 0.169 −5.406 −5.006 −4.558
α_3 100 0 1.001 0.019 0.951 1.001 1.055
γ_0 100 0 1.387 0.098 1.119 1.384 1.609
γ_1 100 0 8.464 0.578 7.051 8.420 10.009
γ_2 100 0 0.956 0.017 0.917 0.956 1.002
γ_3 100 0 0.955 0.016 0.915 0.956 0.998
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.006 0.000 0.006 0.006 0.006
sd_α_1 100 0 0.230 0.005 0.216 0.230 0.243
sd_α_2 100 0 0.024 0.000 0.023 0.024 0.025
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.009 0.009 0.010
sd_γ_1 100 0 0.092 0.005 0.081 0.092 0.102
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.907 0.938 7.866 9.809 12.850
α_1 100 0 −1.370 51.562 −170.972 5.489 120.993
α_2 100 0 −19.581 6.126 −40.350 −19.461 −3.832
α_3 100 0 0.994 0.232 0.524 0.955 1.846
γ_0 100 0 1.160 1.586 −6.393 1.417 4.317
γ_1 100 0 50.225 47.360 −27.427 40.528 227.991
γ_2 100 0 0.973 0.227 0.554 0.975 1.868
γ_3 100 0 0.996 0.281 0.587 0.939 2.456
θ 100 0 0.064 0.133 0.000 0.000 0.626
sd_α_0 100 0 0.647 0.177 0.382 0.606 1.249
sd_α_1 100 0 94.577 19.574 57.299 93.259 136.783
sd_α_2 100 0 9.899 1.977 6.005 9.854 15.070
sd_α_3 100 0 0.250 0.058 0.127 0.245 0.396
sd_γ_0 100 0 1.047 0.421 0.340 0.998 2.451
sd_γ_1 100 0 43.850 28.891 10.991 33.157 198.085
sd_γ_2 100 0 0.036 0.012 0.019 0.034 0.088
sd_γ_3 100 0 0.040 0.012 0.025 0.037 0.098
sd_θ 100 0 0.103 0.043 0.032 0.097 0.249
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.964 0.590 8.849 9.864 12.076
α_1 100 0 6.842 38.993 −94.391 8.018 106.509
α_2 100 0 −20.716 4.666 −34.440 −20.285 −11.087
α_3 100 0 0.994 0.129 0.703 0.993 1.496
γ_0 100 0 1.524 0.927 −2.746 1.595 3.376
γ_1 100 0 29.984 27.609 −17.816 24.509 160.906
γ_2 100 0 0.946 0.147 0.632 0.918 1.499
γ_3 100 0 0.923 0.130 0.604 0.912 1.398
θ 100 0 0.022 0.073 0.000 0.000 0.593
sd_α_0 100 0 0.317 0.058 0.221 0.304 0.494
sd_α_1 100 0 47.597 7.245 32.734 46.486 67.298
sd_α_2 100 0 5.022 0.715 3.388 4.893 7.317
sd_α_3 100 0 0.124 0.017 0.091 0.122 0.169
sd_γ_0 100 0 0.460 0.110 0.249 0.444 0.756
sd_γ_1 100 0 17.163 6.729 7.599 15.173 39.118
sd_γ_2 100 0 0.016 0.003 0.010 0.016 0.029
sd_γ_3 100 0 0.018 0.003 0.012 0.018 0.026
sd_θ 100 0 0.045 0.011 0.025 0.043 0.077
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.041 0.450 9.145 10.047 11.300
α_1 100 0 −3.898 32.444 −80.157 −2.590 76.175
α_2 100 0 −19.927 3.680 −32.442 −19.748 −12.924
α_3 100 0 1.025 0.102 0.792 1.028 1.270
γ_0 100 0 1.491 0.499 0.447 1.515 2.627
γ_1 100 0 29.236 12.145 1.855 30.113 55.409
γ_2 100 0 0.941 0.081 0.707 0.928 1.129
γ_3 100 0 0.953 0.091 0.738 0.948 1.189
θ 100 0 0.004 0.017 0.000 0.000 0.115
sd_α_0 100 0 0.156 0.018 0.113 0.155 0.204
sd_α_1 100 0 23.307 2.645 15.225 22.973 30.668
sd_α_2 100 0 2.453 0.270 1.730 2.446 3.140
sd_α_3 100 0 0.061 0.006 0.045 0.061 0.082
sd_γ_0 100 0 0.236 0.043 0.153 0.231 0.352
sd_γ_1 100 0 9.188 2.760 4.465 8.838 18.003
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.023 0.004 0.015 0.023 0.036
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.986 0.172 9.642 9.959 10.463
α_1 100 0 −1.846 13.554 −35.088 −1.997 32.313
α_2 100 0 −19.849 1.481 −23.422 −19.801 −16.789
α_3 100 0 0.995 0.044 0.904 0.992 1.124
γ_0 100 0 1.441 0.231 0.861 1.453 1.883
γ_1 100 0 29.206 6.048 15.710 29.456 44.396
γ_2 100 0 0.952 0.034 0.874 0.948 1.033
γ_3 100 0 0.953 0.046 0.858 0.951 1.098
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.030 0.002 0.026 0.030 0.036
sd_α_1 100 0 4.557 0.197 4.021 4.572 4.983
sd_α_2 100 0 0.479 0.020 0.425 0.479 0.528
sd_α_3 100 0 0.012 0.000 0.011 0.012 0.013
sd_γ_0 100 0 0.047 0.004 0.035 0.047 0.056
sd_γ_1 100 0 1.767 0.236 1.258 1.746 2.288
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.003 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.154 9.663 9.990 10.370
α_1 100 0 −2.484 8.549 −21.425 −3.687 26.399
α_2 100 0 −19.802 1.119 −23.647 −19.748 −17.548
α_3 100 0 0.999 0.034 0.918 1.000 1.075
γ_0 100 0 1.388 0.183 0.977 1.417 1.900
γ_1 100 0 30.217 4.769 17.445 29.757 40.528
γ_2 100 0 0.958 0.028 0.879 0.962 1.025
γ_3 100 0 0.954 0.029 0.864 0.953 1.019
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.015 0.001 0.014 0.015 0.017
sd_α_1 100 0 2.265 0.079 2.028 2.263 2.482
sd_α_2 100 0 0.238 0.008 0.214 0.238 0.262
sd_α_3 100 0 0.006 0.000 0.005 0.006 0.006
sd_γ_0 100 0 0.024 0.002 0.020 0.023 0.029
sd_γ_1 100 0 0.886 0.077 0.736 0.876 1.122
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.092 9.755 10.000 10.283
α_1 100 0 −0.720 5.440 −12.155 −0.422 13.112
α_2 100 0 −20.050 0.645 −21.485 −20.056 −18.084
α_3 100 0 1.003 0.022 0.949 1.003 1.072
γ_0 100 0 1.394 0.106 1.096 1.385 1.656
γ_1 100 0 30.410 2.664 24.488 30.802 38.731
γ_2 100 0 0.955 0.017 0.914 0.955 1.006
γ_3 100 0 0.956 0.018 0.920 0.956 1.005
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_α_1 100 0 0.906 0.020 0.848 0.907 0.970
sd_α_2 100 0 0.095 0.002 0.089 0.095 0.102
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.003
sd_γ_0 100 0 0.009 0.000 0.008 0.009 0.011
sd_γ_1 100 0 0.351 0.020 0.313 0.352 0.417
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.33\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.101 0.903 7.916 10.022 12.702
α_1 100 0 −1.053 1.063 −4.684 −0.896 1.100
α_2 100 0 −0.102 0.093 −0.323 −0.098 0.171
α_3 100 0 1.003 0.219 0.569 0.991 1.623
γ_0 100 0 1.334 1.412 −4.159 1.586 4.304
γ_1 100 0 2.003 0.970 0.310 1.758 5.145
γ_2 100 0 0.954 0.203 0.382 0.920 1.647
γ_3 100 0 0.947 0.184 0.535 0.925 1.603
θ 100 0 0.240 0.348 0.000 0.000 1.000
sd_α_0 100 0 0.445 0.146 0.172 0.436 0.986
sd_α_1 100 0 1.022 0.275 0.461 0.983 1.868
sd_α_2 100 0 0.102 0.027 0.047 0.098 0.180
sd_α_3 100 0 0.171 0.046 0.064 0.162 0.279
sd_γ_0 100 0 1.070 0.343 0.485 1.021 2.291
sd_γ_1 100 0 8.387 62.111 0.259 1.133 622.277
sd_γ_2 100 0 0.032 0.008 0.017 0.032 0.059
sd_γ_3 100 0 0.039 0.007 0.025 0.037 0.057
sd_θ 100 0 0.105 0.034 0.049 0.099 0.226
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.942 0.645 8.511 9.888 11.803
α_1 100 0 −1.035 0.659 −2.949 −1.009 1.098
α_2 100 0 −0.094 0.060 −0.305 −0.092 0.039
α_3 100 0 1.003 0.158 0.666 0.989 1.558
γ_0 100 0 1.250 1.078 −2.335 1.499 3.163
γ_1 100 0 1.853 0.725 0.845 1.691 4.183
γ_2 100 0 0.972 0.160 0.688 0.937 1.406
γ_3 100 0 0.974 0.159 0.658 0.959 1.502
θ 100 0 0.156 0.323 0.000 0.000 1.000
sd_α_0 100 0 0.199 0.047 0.105 0.193 0.347
sd_α_1 100 0 0.482 0.087 0.256 0.489 0.692
sd_α_2 100 0 0.048 0.008 0.026 0.048 0.070
sd_α_3 100 0 0.079 0.017 0.046 0.077 0.133
sd_γ_0 100 0 0.527 0.133 0.279 0.503 0.909
sd_γ_1 100 0 1.386 2.727 0.198 0.645 18.610
sd_γ_2 100 0 0.017 0.003 0.012 0.016 0.028
sd_γ_3 100 0 0.019 0.003 0.014 0.019 0.031
sd_θ 100 0 0.052 0.013 0.028 0.050 0.090
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.021 0.418 9.172 9.970 11.266
α_1 100 0 −1.039 0.462 −2.050 −0.990 0.247
α_2 100 0 −0.097 0.042 −0.235 −0.096 0.003
α_3 100 0 1.008 0.096 0.801 1.004 1.253
γ_0 100 0 1.018 0.648 −0.726 1.077 2.377
γ_1 100 0 1.705 0.372 1.124 1.653 4.068
γ_2 100 0 0.995 0.092 0.833 0.990 1.216
γ_3 100 0 1.008 0.100 0.793 0.997 1.275
θ 100 0 0.022 0.117 0.000 0.000 0.974
sd_α_0 100 0 0.101 0.016 0.070 0.100 0.151
sd_α_1 100 0 0.236 0.032 0.180 0.232 0.342
sd_α_2 100 0 0.024 0.003 0.017 0.023 0.035
sd_α_3 100 0 0.039 0.006 0.029 0.038 0.055
sd_γ_0 100 0 0.268 0.046 0.177 0.267 0.398
sd_γ_1 100 0 0.484 0.820 0.132 0.321 7.944
sd_γ_2 100 0 0.009 0.001 0.006 0.008 0.012
sd_γ_3 100 0 0.010 0.001 0.007 0.009 0.013
sd_θ 100 0 0.026 0.005 0.017 0.026 0.038
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.987 0.203 9.377 9.972 10.663
α_1 100 0 −1.005 0.200 −1.444 −1.003 −0.332
α_2 100 0 −0.099 0.020 −0.155 −0.101 −0.053
α_3 100 0 1.004 0.048 0.843 1.004 1.118
γ_0 100 0 1.122 0.288 0.333 1.095 1.857
γ_1 100 0 1.622 0.111 1.414 1.623 1.920
γ_2 100 0 0.983 0.048 0.847 0.985 1.106
γ_3 100 0 0.996 0.038 0.909 0.993 1.102
θ 100 0 0.003 0.020 0.000 0.000 0.201
sd_α_0 100 0 0.020 0.002 0.016 0.020 0.024
sd_α_1 100 0 0.046 0.003 0.040 0.047 0.054
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.008 0.001 0.007 0.008 0.009
sd_γ_0 100 0 0.052 0.004 0.043 0.052 0.066
sd_γ_1 100 0 0.064 0.015 0.034 0.062 0.100
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.010 0.136 9.632 10.018 10.284
α_1 100 0 −1.010 0.130 −1.343 −1.001 −0.719
α_2 100 0 −0.099 0.014 −0.142 −0.098 −0.067
α_3 100 0 0.998 0.033 0.931 0.999 1.087
γ_0 100 0 1.120 0.192 0.541 1.155 1.539
γ_1 100 0 1.613 0.079 1.467 1.606 1.874
γ_2 100 0 0.986 0.030 0.913 0.983 1.090
γ_3 100 0 0.986 0.027 0.932 0.983 1.048
θ 100 0 0.002 0.014 0.000 0.000 0.140
sd_α_0 100 0 0.010 0.001 0.009 0.010 0.011
sd_α_1 100 0 0.023 0.001 0.020 0.023 0.025
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.004 0.000 0.003 0.004 0.004
sd_γ_0 100 0 0.026 0.001 0.023 0.026 0.029
sd_γ_1 100 0 0.031 0.005 0.020 0.030 0.043
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.094 9.756 10.009 10.186
α_1 100 0 −0.984 0.093 −1.208 −0.981 −0.700
α_2 100 0 −0.101 0.009 −0.121 −0.101 −0.079
α_3 100 0 1.001 0.021 0.948 1.002 1.060
γ_0 100 0 1.090 0.134 0.676 1.087 1.397
γ_1 100 0 1.623 0.052 1.500 1.625 1.772
γ_2 100 0 0.990 0.020 0.938 0.991 1.043
γ_3 100 0 0.990 0.019 0.947 0.991 1.032
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.004 0.000 0.004 0.004 0.004
sd_α_1 100 0 0.009 0.000 0.009 0.009 0.010
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.012
sd_γ_1 100 0 0.012 0.001 0.009 0.012 0.015
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.788 0.869 7.639 9.751 13.200
α_1 100 0 −0.846 2.077 −6.905 −0.938 3.651
α_2 100 0 −0.484 0.233 −1.293 −0.490 0.058
α_3 100 0 0.971 0.219 0.492 0.951 1.737
γ_0 100 0 1.545 1.250 −2.175 1.583 4.408
γ_1 100 0 2.935 1.745 −0.485 2.551 7.756
γ_2 100 0 0.950 0.179 0.592 0.927 1.425
γ_3 100 0 0.936 0.176 0.562 0.939 1.502
θ 100 0 0.110 0.259 0.000 0.000 1.000
sd_α_0 100 0 0.503 0.145 0.193 0.504 1.187
sd_α_1 100 0 2.777 0.680 1.328 2.754 5.641
sd_α_2 100 0 0.286 0.068 0.133 0.286 0.567
sd_α_3 100 0 0.199 0.058 0.071 0.193 0.431
sd_γ_0 100 0 1.025 0.329 0.487 0.980 1.826
sd_γ_1 100 0 4.683 15.542 0.539 1.641 143.503
sd_γ_2 100 0 0.034 0.008 0.020 0.033 0.057
sd_γ_3 100 0 0.038 0.008 0.024 0.037 0.074
sd_θ 100 0 0.101 0.032 0.049 0.096 0.183
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.124 0.601 8.625 10.097 11.521
α_1 100 0 −0.972 1.435 −5.203 −0.881 3.407
α_2 100 0 −0.523 0.162 −0.973 −0.529 −0.116
α_3 100 0 1.044 0.148 0.716 1.051 1.519
γ_0 100 0 1.535 0.793 −0.579 1.565 3.944
γ_1 100 0 2.567 1.023 −0.022 2.465 7.520
γ_2 100 0 0.948 0.120 0.682 0.937 1.227
γ_3 100 0 0.942 0.135 0.541 0.941 1.283
θ 100 0 0.026 0.083 0.000 0.000 0.644
sd_α_0 100 0 0.263 0.049 0.176 0.246 0.387
sd_α_1 100 0 1.454 0.240 0.930 1.432 2.184
sd_α_2 100 0 0.150 0.024 0.101 0.148 0.218
sd_α_3 100 0 0.102 0.017 0.069 0.099 0.141
sd_γ_0 100 0 0.493 0.121 0.207 0.482 0.875
sd_γ_1 100 0 0.914 0.489 0.202 0.759 3.199
sd_γ_2 100 0 0.016 0.003 0.010 0.016 0.026
sd_γ_3 100 0 0.019 0.002 0.011 0.019 0.025
sd_θ 100 0 0.048 0.012 0.019 0.047 0.089
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.969 0.451 8.923 9.933 11.168
α_1 100 0 −0.994 1.062 −4.063 −0.846 2.433
α_2 100 0 −0.496 0.109 −0.786 −0.488 −0.221
α_3 100 0 0.999 0.116 0.726 1.009 1.273
γ_0 100 0 1.543 0.572 −0.017 1.597 2.750
γ_1 100 0 2.530 0.620 1.156 2.440 4.344
γ_2 100 0 0.936 0.083 0.753 0.924 1.192
γ_3 100 0 0.953 0.101 0.723 0.941 1.338
θ 100 0 0.011 0.037 0.000 0.000 0.214
sd_α_0 100 0 0.123 0.019 0.088 0.119 0.181
sd_α_1 100 0 0.694 0.088 0.503 0.684 0.948
sd_α_2 100 0 0.072 0.009 0.053 0.071 0.098
sd_α_3 100 0 0.049 0.006 0.035 0.048 0.065
sd_γ_0 100 0 0.247 0.045 0.165 0.242 0.403
sd_γ_1 100 0 0.438 0.152 0.195 0.421 1.077
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.011
sd_θ 100 0 0.024 0.004 0.017 0.024 0.039
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.216 9.527 9.985 10.570
α_1 100 0 −0.921 0.428 −2.314 −0.935 0.146
α_2 100 0 −0.506 0.054 −0.620 −0.504 −0.332
α_3 100 0 1.000 0.042 0.899 1.000 1.119
γ_0 100 0 1.376 0.260 0.383 1.378 1.887
γ_1 100 0 2.586 0.242 2.123 2.608 3.492
γ_2 100 0 0.960 0.039 0.874 0.965 1.070
γ_3 100 0 0.960 0.039 0.857 0.956 1.052
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.024 0.002 0.020 0.024 0.029
sd_α_1 100 0 0.137 0.008 0.122 0.136 0.155
sd_α_2 100 0 0.014 0.001 0.012 0.014 0.016
sd_α_3 100 0 0.010 0.001 0.008 0.010 0.011
sd_γ_0 100 0 0.049 0.005 0.039 0.049 0.064
sd_γ_1 100 0 0.083 0.013 0.059 0.082 0.122
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.001 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.983 0.126 9.699 9.986 10.273
α_1 100 0 −0.951 0.318 −1.761 −0.927 −0.161
α_2 100 0 −0.503 0.034 −0.587 −0.500 −0.427
α_3 100 0 0.996 0.031 0.916 0.995 1.082
γ_0 100 0 1.364 0.178 0.928 1.365 1.782
γ_1 100 0 2.596 0.172 2.132 2.599 2.991
γ_2 100 0 0.963 0.027 0.901 0.965 1.028
γ_3 100 0 0.957 0.028 0.884 0.957 1.023
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.012 0.001 0.011 0.012 0.013
sd_α_1 100 0 0.068 0.003 0.062 0.068 0.075
sd_α_2 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_3 100 0 0.005 0.000 0.004 0.005 0.005
sd_γ_0 100 0 0.024 0.001 0.021 0.024 0.030
sd_γ_1 100 0 0.041 0.004 0.032 0.041 0.050
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.085 9.817 9.998 10.200
α_1 100 0 −1.034 0.202 −1.492 −1.027 −0.571
α_2 100 0 −0.497 0.022 −0.546 −0.499 −0.452
α_3 100 0 1.000 0.021 0.946 1.000 1.058
γ_0 100 0 1.398 0.119 1.158 1.389 1.724
γ_1 100 0 2.570 0.116 2.306 2.573 2.842
γ_2 100 0 0.956 0.017 0.899 0.958 0.995
γ_3 100 0 0.955 0.019 0.915 0.956 0.993
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.005 0.005 0.005
sd_α_1 100 0 0.027 0.001 0.026 0.027 0.029
sd_α_2 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.012
sd_γ_1 100 0 0.017 0.001 0.014 0.017 0.022
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.881 0.911 7.719 9.780 12.297
α_1 100 0 −0.820 3.832 −10.451 −1.218 10.976
α_2 100 0 −0.987 0.444 −2.274 −0.988 −0.155
α_3 100 0 0.974 0.233 0.323 0.985 1.659
γ_0 100 0 1.571 1.329 −2.602 1.526 4.294
γ_1 100 0 4.251 2.842 −0.764 3.706 19.812
γ_2 100 0 0.944 0.209 0.531 0.946 1.529
γ_3 100 0 0.960 0.215 0.559 0.955 1.552
θ 100 0 0.059 0.179 0.000 0.000 1.000
sd_α_0 100 0 0.534 0.161 0.209 0.510 1.144
sd_α_1 100 0 5.340 1.226 2.236 5.215 9.440
sd_α_2 100 0 0.557 0.128 0.241 0.551 1.002
sd_α_3 100 0 0.204 0.054 0.074 0.200 0.353
sd_γ_0 100 0 1.049 0.364 0.544 0.962 2.376
sd_γ_1 100 0 3.423 2.413 0.903 2.863 19.099
sd_γ_2 100 0 0.035 0.009 0.019 0.033 0.060
sd_γ_3 100 0 0.039 0.009 0.020 0.038 0.068
sd_θ 100 0 0.103 0.036 0.052 0.097 0.229
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.911 0.619 8.764 9.845 11.944
α_1 100 0 −0.851 2.377 −6.231 −0.806 4.596
α_2 100 0 −0.991 0.288 −1.800 −0.978 −0.353
α_3 100 0 0.999 0.152 0.641 0.992 1.480
γ_0 100 0 1.465 0.885 −1.151 1.602 3.379
γ_1 100 0 4.052 1.590 0.680 3.894 9.392
γ_2 100 0 0.951 0.137 0.658 0.919 1.400
γ_3 100 0 0.940 0.135 0.567 0.934 1.339
θ 100 0 0.027 0.071 0.000 0.000 0.373
sd_α_0 100 0 0.258 0.054 0.164 0.248 0.466
sd_α_1 100 0 2.506 0.407 1.764 2.485 3.796
sd_α_2 100 0 0.261 0.042 0.182 0.257 0.419
sd_α_3 100 0 0.102 0.018 0.067 0.102 0.143
sd_γ_0 100 0 0.476 0.103 0.270 0.455 0.815
sd_γ_1 100 0 1.343 0.518 0.639 1.289 3.325
sd_γ_2 100 0 0.017 0.003 0.011 0.017 0.029
sd_γ_3 100 0 0.019 0.003 0.013 0.018 0.028
sd_θ 100 0 0.046 0.010 0.026 0.044 0.084
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.991 0.399 9.100 9.926 10.992
α_1 100 0 −0.978 1.600 −4.918 −1.086 2.596
α_2 100 0 −1.004 0.184 −1.468 −0.988 −0.606
α_3 100 0 0.998 0.087 0.807 0.986 1.228
γ_0 100 0 1.493 0.559 0.029 1.517 3.638
γ_1 100 0 3.836 0.925 0.785 3.716 6.603
γ_2 100 0 0.939 0.091 0.627 0.935 1.168
γ_3 100 0 0.947 0.088 0.694 0.951 1.162
θ 100 0 0.005 0.021 0.000 0.000 0.147
sd_α_0 100 0 0.132 0.020 0.094 0.129 0.194
sd_α_1 100 0 1.255 0.133 0.974 1.250 1.614
sd_α_2 100 0 0.130 0.014 0.101 0.129 0.165
sd_α_3 100 0 0.051 0.006 0.041 0.051 0.067
sd_γ_0 100 0 0.241 0.040 0.112 0.239 0.360
sd_γ_1 100 0 0.661 0.180 0.293 0.634 1.387
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.013
sd_θ 100 0 0.024 0.004 0.011 0.023 0.034
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.009 0.199 9.552 10.022 10.515
α_1 100 0 −1.064 0.807 −3.026 −1.050 1.336
α_2 100 0 −0.997 0.092 −1.273 −0.993 −0.774
α_3 100 0 1.006 0.052 0.901 1.006 1.140
γ_0 100 0 1.485 0.227 0.881 1.492 1.978
γ_1 100 0 3.763 0.391 2.895 3.769 4.730
γ_2 100 0 0.946 0.036 0.862 0.943 1.033
γ_3 100 0 0.950 0.038 0.863 0.947 1.040
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.026 0.002 0.022 0.026 0.030
sd_α_1 100 0 0.250 0.013 0.223 0.250 0.283
sd_α_2 100 0 0.026 0.001 0.024 0.026 0.029
sd_α_3 100 0 0.010 0.001 0.009 0.010 0.012
sd_γ_0 100 0 0.048 0.004 0.039 0.048 0.060
sd_γ_1 100 0 0.129 0.018 0.085 0.128 0.192
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.983 0.130 9.671 9.990 10.252
α_1 100 0 −1.070 0.629 −2.884 −1.069 0.608
α_2 100 0 −0.989 0.064 −1.179 −0.983 −0.812
α_3 100 0 0.996 0.032 0.915 0.996 1.087
γ_0 100 0 1.456 0.202 0.876 1.455 1.849
γ_1 100 0 3.825 0.321 2.958 3.809 4.744
γ_2 100 0 0.949 0.031 0.886 0.949 1.033
γ_3 100 0 0.949 0.035 0.886 0.949 1.039
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.013 0.001 0.011 0.013 0.014
sd_α_1 100 0 0.124 0.004 0.114 0.124 0.133
sd_α_2 100 0 0.013 0.000 0.012 0.013 0.014
sd_α_3 100 0 0.005 0.000 0.005 0.005 0.005
sd_γ_0 100 0 0.024 0.002 0.021 0.024 0.031
sd_γ_1 100 0 0.065 0.007 0.054 0.066 0.091
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.015 0.085 9.826 10.024 10.269
α_1 100 0 −1.057 0.391 −2.088 −1.003 0.222
α_2 100 0 −0.997 0.043 −1.133 −0.998 −0.904
α_3 100 0 1.003 0.020 0.961 1.002 1.064
γ_0 100 0 1.478 0.119 1.227 1.477 1.823
γ_1 100 0 3.782 0.195 3.261 3.790 4.248
γ_2 100 0 0.947 0.018 0.902 0.946 0.987
γ_3 100 0 0.947 0.021 0.898 0.945 1.010
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.005 0.005 0.005
sd_α_1 100 0 0.050 0.001 0.046 0.050 0.053
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.026 0.002 0.022 0.026 0.030
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.155 1.110 8.022 9.940 14.074
α_1 100 0 0.743 17.362 −52.841 1.777 47.100
α_2 100 0 −5.352 1.980 −10.056 −5.258 −0.878
α_3 100 0 1.028 0.251 0.492 0.996 2.140
γ_0 100 0 1.580 1.203 −3.127 1.738 3.768
γ_1 100 0 15.983 11.112 −3.894 14.557 69.242
γ_2 100 0 0.913 0.192 0.497 0.905 1.584
γ_3 100 0 0.954 0.190 0.566 0.916 1.426
θ 100 0 0.035 0.110 0.000 0.000 0.752
sd_α_0 100 0 0.600 0.207 0.297 0.546 1.194
sd_α_1 100 0 26.078 7.075 13.155 25.090 57.417
sd_α_2 100 0 2.730 0.720 1.405 2.634 5.949
sd_α_3 100 0 0.235 0.069 0.120 0.220 0.479
sd_γ_0 100 0 1.035 0.376 0.441 0.979 2.428
sd_γ_1 100 0 12.636 7.547 3.171 10.975 41.243
sd_γ_2 100 0 0.033 0.008 0.019 0.032 0.055
sd_γ_3 100 0 0.038 0.007 0.023 0.038 0.061
sd_θ 100 0 0.102 0.037 0.045 0.096 0.239
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.034 0.656 8.761 9.962 12.255
α_1 100 0 −1.650 12.396 −38.354 −0.718 33.550
α_2 100 0 −4.988 1.422 −9.145 −4.944 −2.300
α_3 100 0 1.001 0.156 0.577 1.020 1.546
γ_0 100 0 1.644 0.901 −0.967 1.897 3.403
γ_1 100 0 13.035 6.781 −0.168 11.578 35.773
γ_2 100 0 0.942 0.148 0.695 0.917 1.394
γ_3 100 0 0.914 0.120 0.621 0.917 1.291
θ 100 0 0.014 0.050 0.000 0.000 0.324
sd_α_0 100 0 0.279 0.060 0.156 0.270 0.486
sd_α_1 100 0 11.997 2.043 7.800 11.913 18.623
sd_α_2 100 0 1.264 0.208 0.830 1.253 1.927
sd_α_3 100 0 0.109 0.018 0.071 0.108 0.159
sd_γ_0 100 0 0.471 0.113 0.238 0.461 0.797
sd_γ_1 100 0 5.531 2.550 2.153 4.987 20.040
sd_γ_2 100 0 0.016 0.003 0.010 0.016 0.026
sd_γ_3 100 0 0.019 0.003 0.013 0.018 0.026
sd_θ 100 0 0.046 0.012 0.023 0.046 0.078
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.080 0.461 9.105 10.044 11.438
α_1 100 0 −2.168 8.411 −21.653 −2.191 18.957
α_2 100 0 −4.968 0.909 −7.329 −4.973 −2.360
α_3 100 0 1.003 0.094 0.807 0.992 1.269
γ_0 100 0 1.679 0.501 0.472 1.783 2.622
γ_1 100 0 12.678 3.543 6.095 12.284 22.510
γ_2 100 0 0.920 0.089 0.738 0.903 1.132
γ_3 100 0 0.923 0.091 0.732 0.917 1.178
θ 100 0 0.001 0.011 0.000 0.000 0.110
sd_α_0 100 0 0.142 0.018 0.104 0.139 0.184
sd_α_1 100 0 5.897 0.701 4.694 5.782 8.074
sd_α_2 100 0 0.619 0.070 0.490 0.608 0.846
sd_α_3 100 0 0.055 0.007 0.042 0.054 0.075
sd_γ_0 100 0 0.224 0.038 0.152 0.222 0.357
sd_γ_1 100 0 2.550 0.801 1.345 2.385 6.824
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.010
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.022 0.004 0.015 0.021 0.035
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.017 0.207 9.502 10.010 10.834
α_1 100 0 −1.106 3.724 −11.378 −0.780 11.821
α_2 100 0 −5.009 0.401 −6.438 −5.032 −4.036
α_3 100 0 0.998 0.050 0.890 1.000 1.130
γ_0 100 0 1.569 0.283 0.875 1.628 2.093
γ_1 100 0 13.364 1.879 10.029 13.274 18.104
γ_2 100 0 0.937 0.046 0.834 0.936 1.045
γ_3 100 0 0.932 0.039 0.822 0.935 1.012
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.027 0.002 0.022 0.027 0.032
sd_α_1 100 0 1.152 0.065 0.964 1.150 1.358
sd_α_2 100 0 0.121 0.006 0.104 0.121 0.140
sd_α_3 100 0 0.011 0.001 0.009 0.011 0.012
sd_γ_0 100 0 0.047 0.004 0.038 0.047 0.058
sd_γ_1 100 0 0.510 0.064 0.350 0.511 0.694
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.146 9.661 10.001 10.377
α_1 100 0 −0.880 2.928 −8.123 −0.832 9.563
α_2 100 0 −5.011 0.310 −6.091 −5.014 −4.243
α_3 100 0 0.998 0.030 0.908 0.999 1.086
γ_0 100 0 1.595 0.168 1.128 1.582 1.996
γ_1 100 0 13.132 1.099 9.840 13.278 16.284
γ_2 100 0 0.934 0.028 0.863 0.938 0.999
γ_3 100 0 0.934 0.026 0.880 0.935 1.001
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.014 0.001 0.012 0.014 0.015
sd_α_1 100 0 0.573 0.022 0.524 0.574 0.633
sd_α_2 100 0 0.060 0.002 0.055 0.060 0.066
sd_α_3 100 0 0.005 0.000 0.005 0.005 0.006
sd_γ_0 100 0 0.023 0.001 0.020 0.023 0.026
sd_γ_1 100 0 0.251 0.020 0.205 0.251 0.313
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.088 9.713 9.995 10.212
α_1 100 0 −0.987 1.683 −5.071 −0.900 3.239
α_2 100 0 −4.998 0.194 −5.521 −4.998 −4.540
α_3 100 0 1.001 0.020 0.962 1.003 1.053
γ_0 100 0 1.587 0.123 1.332 1.584 2.009
γ_1 100 0 13.204 0.879 10.535 13.241 14.913
γ_2 100 0 0.936 0.018 0.881 0.937 0.977
γ_3 100 0 0.935 0.020 0.888 0.934 0.994
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_1 100 0 0.230 0.005 0.215 0.229 0.243
sd_α_2 100 0 0.024 0.001 0.023 0.024 0.025
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.009 0.009 0.011
sd_γ_1 100 0 0.101 0.006 0.088 0.101 0.121
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 1.402 7.889 9.766 20.673
α_1 100 0 −7.425 85.038 −601.521 −7.690 130.833
α_2 100 0 −19.400 7.157 −41.696 −18.262 −3.583
α_3 100 0 1.006 0.267 0.477 0.984 2.735
γ_0 100 0 1.758 1.119 −1.103 1.698 4.675
γ_1 100 0 49.142 35.600 −30.529 44.054 164.203
γ_2 100 0 0.920 0.178 0.463 0.938 1.404
γ_3 100 0 0.942 0.186 0.435 0.911 1.607
θ 100 0 0.023 0.074 0.000 0.000 0.570
sd_α_0 100 0 0.603 0.261 0.241 0.554 2.492
sd_α_1 100 0 98.179 34.181 56.486 91.858 347.314
sd_α_2 100 0 10.360 3.430 5.782 9.653 34.038
sd_α_3 100 0 0.231 0.075 0.116 0.220 0.751
sd_γ_0 100 0 0.987 0.352 0.450 0.936 2.740
sd_γ_1 100 0 50.505 45.782 8.898 40.612 388.598
sd_γ_2 100 0 0.033 0.008 0.018 0.032 0.068
sd_γ_3 100 0 0.039 0.008 0.026 0.037 0.073
sd_θ 100 0 0.097 0.034 0.044 0.091 0.258
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.079 0.710 8.357 9.956 13.374
α_1 100 0 5.827 50.208 −123.228 −1.818 119.702
α_2 100 0 −20.975 6.353 −36.780 −19.588 −4.808
α_3 100 0 1.019 0.150 0.700 0.997 1.424
γ_0 100 0 1.500 0.932 −1.233 1.541 3.091
γ_1 100 0 53.985 31.428 −4.481 49.315 216.125
γ_2 100 0 0.960 0.148 0.597 0.935 1.376
γ_3 100 0 0.929 0.146 0.638 0.924 1.397
θ 100 0 0.017 0.074 0.000 0.000 0.590
sd_α_0 100 0 0.290 0.065 0.174 0.280 0.595
sd_α_1 100 0 47.549 8.862 30.370 46.529 74.119
sd_α_2 100 0 5.021 0.912 3.094 4.916 7.579
sd_α_3 100 0 0.112 0.020 0.063 0.109 0.187
sd_γ_0 100 0 0.487 0.118 0.242 0.475 0.791
sd_γ_1 100 0 21.660 11.372 6.600 19.673 91.997
sd_γ_2 100 0 0.016 0.003 0.010 0.016 0.027
sd_γ_3 100 0 0.018 0.003 0.013 0.018 0.026
sd_θ 100 0 0.048 0.012 0.020 0.046 0.079
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.922 0.407 9.079 9.935 10.884
α_1 100 0 1.508 28.924 −68.355 3.907 68.330
α_2 100 0 −19.881 3.396 −28.292 −19.740 −11.564
α_3 100 0 0.982 0.101 0.768 0.984 1.289
γ_0 100 0 1.600 0.609 −0.005 1.616 2.967
γ_1 100 0 50.676 18.515 14.435 48.032 124.265
γ_2 100 0 0.929 0.091 0.682 0.933 1.154
γ_3 100 0 0.935 0.098 0.645 0.930 1.155
θ 100 0 0.006 0.035 0.000 0.000 0.319
sd_α_0 100 0 0.137 0.018 0.105 0.134 0.181
sd_α_1 100 0 22.579 2.320 18.189 22.582 28.513
sd_α_2 100 0 2.377 0.238 1.932 2.376 3.048
sd_α_3 100 0 0.053 0.006 0.041 0.053 0.068
sd_γ_0 100 0 0.235 0.039 0.154 0.239 0.329
sd_γ_1 100 0 9.752 2.289 5.315 9.800 15.588
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.023 0.004 0.015 0.023 0.032
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.014 0.213 9.553 10.005 10.726
α_1 100 0 0.823 13.567 −40.858 2.822 28.407
α_2 100 0 −20.238 1.701 −24.180 −20.199 −16.009
α_3 100 0 1.003 0.048 0.920 1.002 1.161
γ_0 100 0 1.609 0.252 0.995 1.645 2.147
γ_1 100 0 48.777 6.983 33.233 48.212 68.081
γ_2 100 0 0.932 0.041 0.843 0.933 1.025
γ_3 100 0 0.941 0.040 0.861 0.932 1.048
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.027 0.002 0.024 0.027 0.033
sd_α_1 100 0 4.548 0.228 4.093 4.539 5.163
sd_α_2 100 0 0.479 0.024 0.432 0.480 0.550
sd_α_3 100 0 0.011 0.001 0.009 0.011 0.012
sd_γ_0 100 0 0.047 0.004 0.033 0.047 0.062
sd_γ_1 100 0 1.960 0.256 1.265 1.935 2.605
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.003 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.988 0.137 9.717 9.973 10.406
α_1 100 0 −1.148 10.368 −30.391 −0.356 31.475
α_2 100 0 −19.959 1.206 −23.249 −19.892 −17.236
α_3 100 0 0.999 0.031 0.925 0.999 1.086
γ_0 100 0 1.571 0.170 1.029 1.581 2.015
γ_1 100 0 49.772 4.949 39.434 50.071 65.093
γ_2 100 0 0.936 0.025 0.858 0.934 0.990
γ_3 100 0 0.934 0.031 0.862 0.940 1.017
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.014 0.001 0.012 0.014 0.015
sd_α_1 100 0 2.260 0.086 2.076 2.263 2.480
sd_α_2 100 0 0.238 0.009 0.217 0.238 0.263
sd_α_3 100 0 0.005 0.000 0.005 0.005 0.006
sd_γ_0 100 0 0.023 0.002 0.019 0.023 0.030
sd_γ_1 100 0 0.971 0.094 0.756 0.957 1.206
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.098 9.752 10.008 10.213
α_1 100 0 −1.032 6.687 −13.148 −1.126 12.985
α_2 100 0 −20.003 0.827 −22.084 −19.938 −17.757
α_3 100 0 1.001 0.022 0.938 1.002 1.048
γ_0 100 0 1.614 0.118 1.332 1.600 1.852
γ_1 100 0 48.500 2.995 41.747 48.555 56.235
γ_2 100 0 0.932 0.019 0.896 0.932 0.976
γ_3 100 0 0.933 0.017 0.898 0.932 0.978
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_1 100 0 0.905 0.022 0.855 0.904 0.955
sd_α_2 100 0 0.095 0.002 0.090 0.095 0.100
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.008 0.009 0.010
sd_γ_1 100 0 0.384 0.027 0.327 0.384 0.454
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.5\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.068 1.045 7.915 9.982 13.936
α_1 100 0 −1.002 1.373 −7.658 −1.049 1.912
α_2 100 0 −0.104 0.129 −0.585 −0.093 0.276
α_3 100 0 0.987 0.208 0.523 0.976 1.566
γ_0 100 0 1.253 1.751 −8.647 1.467 4.016
γ_1 100 0 2.258 1.035 0.757 2.037 7.403
γ_2 100 0 0.963 0.231 0.364 0.903 1.656
γ_3 100 0 0.982 0.206 0.504 0.980 1.575
θ 100 0 0.178 0.353 0.000 0.000 1.000
sd_α_0 100 0 0.409 0.174 0.133 0.378 1.253
sd_α_1 100 0 1.009 0.353 0.293 0.983 2.401
sd_α_2 100 0 0.101 0.036 0.031 0.099 0.266
sd_α_3 100 0 0.154 0.054 0.049 0.149 0.354
sd_γ_0 100 0 1.117 0.499 0.310 1.040 4.140
sd_γ_1 100 0 3.208 7.311 0.213 1.338 61.668
sd_γ_2 100 0 0.035 0.010 0.021 0.033 0.069
sd_γ_3 100 0 0.039 0.009 0.021 0.037 0.080
sd_θ 100 0 0.110 0.051 0.033 0.100 0.428
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.942 0.620 8.837 9.822 12.284
α_1 100 0 −1.077 0.863 −5.283 −1.102 0.684
α_2 100 0 −0.089 0.076 −0.261 −0.093 0.161
α_3 100 0 0.994 0.148 0.680 0.990 1.396
γ_0 100 0 1.313 0.968 −1.785 1.377 3.232
γ_1 100 0 2.106 0.682 1.225 1.959 4.487
γ_2 100 0 0.961 0.151 0.592 0.960 1.390
γ_3 100 0 0.975 0.131 0.709 0.970 1.394
θ 100 0 0.117 0.267 0.000 0.000 1.000
sd_α_0 100 0 0.186 0.049 0.095 0.175 0.346
sd_α_1 100 0 0.481 0.110 0.284 0.462 0.948
sd_α_2 100 0 0.048 0.010 0.028 0.047 0.086
sd_α_3 100 0 0.072 0.018 0.049 0.066 0.124
sd_γ_0 100 0 0.532 0.127 0.239 0.530 0.858
sd_γ_1 100 0 1.779 2.832 0.154 0.690 16.177
sd_γ_2 100 0 0.017 0.003 0.012 0.017 0.027
sd_γ_3 100 0 0.019 0.003 0.014 0.019 0.026
sd_θ 100 0 0.052 0.013 0.025 0.052 0.086
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.468 8.912 9.949 10.966
α_1 100 0 −0.955 0.510 −2.705 −0.908 0.215
α_2 100 0 −0.102 0.050 −0.219 −0.098 0.020
α_3 100 0 0.983 0.101 0.773 0.981 1.267
γ_0 100 0 1.202 0.666 −0.816 1.280 2.695
γ_1 100 0 2.007 0.383 1.257 1.936 3.402
γ_2 100 0 0.978 0.101 0.708 0.965 1.316
γ_3 100 0 0.979 0.090 0.759 0.975 1.278
θ 100 0 0.048 0.165 0.000 0.000 1.000
sd_α_0 100 0 0.092 0.017 0.054 0.090 0.127
sd_α_1 100 0 0.233 0.038 0.155 0.233 0.320
sd_α_2 100 0 0.023 0.004 0.016 0.024 0.031
sd_α_3 100 0 0.036 0.006 0.024 0.035 0.049
sd_γ_0 100 0 0.259 0.049 0.155 0.256 0.378
sd_γ_1 100 0 0.450 0.406 0.113 0.332 2.204
sd_γ_2 100 0 0.009 0.001 0.006 0.009 0.011
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.012
sd_θ 100 0 0.025 0.005 0.015 0.025 0.038
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.197 9.598 9.982 10.443
α_1 100 0 −0.975 0.235 −1.452 −0.962 −0.360
α_2 100 0 −0.102 0.023 −0.187 −0.100 −0.059
α_3 100 0 1.001 0.046 0.915 0.997 1.101
γ_0 100 0 1.173 0.300 0.525 1.184 1.891
γ_1 100 0 1.923 0.129 1.651 1.905 2.206
γ_2 100 0 0.982 0.044 0.886 0.979 1.105
γ_3 100 0 0.979 0.048 0.864 0.978 1.121
θ 100 0 0.003 0.014 0.000 0.000 0.104
sd_α_0 100 0 0.018 0.002 0.014 0.018 0.022
sd_α_1 100 0 0.046 0.003 0.040 0.046 0.054
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.007 0.001 0.006 0.007 0.008
sd_γ_0 100 0 0.052 0.004 0.042 0.052 0.066
sd_γ_1 100 0 0.067 0.018 0.035 0.065 0.120
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.139 9.666 10.013 10.278
α_1 100 0 −0.995 0.176 −1.451 −0.985 −0.583
α_2 100 0 −0.101 0.017 −0.144 −0.102 −0.064
α_3 100 0 1.005 0.030 0.930 1.005 1.080
γ_0 100 0 1.127 0.216 0.587 1.133 1.574
γ_1 100 0 1.940 0.086 1.754 1.937 2.171
γ_2 100 0 0.987 0.034 0.918 0.986 1.067
γ_3 100 0 0.983 0.031 0.911 0.983 1.086
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.009 0.000 0.008 0.009 0.010
sd_α_1 100 0 0.023 0.001 0.021 0.023 0.026
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.004 0.000 0.003 0.004 0.004
sd_γ_0 100 0 0.026 0.002 0.023 0.026 0.031
sd_γ_1 100 0 0.034 0.007 0.022 0.033 0.057
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.084 9.802 10.012 10.204
α_1 100 0 −1.022 0.106 −1.255 −1.032 −0.801
α_2 100 0 −0.098 0.010 −0.123 −0.098 −0.077
α_3 100 0 1.001 0.021 0.945 0.999 1.046
γ_0 100 0 1.144 0.135 0.811 1.160 1.436
γ_1 100 0 1.933 0.057 1.807 1.927 2.075
γ_2 100 0 0.984 0.019 0.943 0.984 1.040
γ_3 100 0 0.981 0.019 0.939 0.981 1.031
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.004
sd_α_1 100 0 0.009 0.000 0.009 0.009 0.010
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.014 0.002 0.011 0.014 0.017
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.918 1.030 7.960 9.700 14.079
α_1 100 0 −0.635 2.503 −7.811 −0.383 4.577
α_2 100 0 −0.522 0.295 −1.309 −0.537 0.166
α_3 100 0 0.993 0.217 0.623 0.971 1.780
γ_0 100 0 1.313 1.505 −4.695 1.441 3.902
γ_1 100 0 4.086 2.136 1.152 3.658 15.525
γ_2 100 0 0.960 0.223 0.514 0.941 1.629
γ_3 100 0 0.950 0.225 0.593 0.924 2.054
θ 100 0 0.075 0.220 0.000 0.000 1.000
sd_α_0 100 0 0.472 0.184 0.187 0.418 1.171
sd_α_1 100 0 2.836 0.834 1.324 2.638 5.958
sd_α_2 100 0 0.295 0.086 0.138 0.278 0.620
sd_α_3 100 0 0.179 0.059 0.087 0.169 0.413
sd_γ_0 100 0 1.094 0.345 0.548 1.041 2.930
sd_γ_1 100 0 8.432 49.168 0.766 1.780 486.661
sd_γ_2 100 0 0.036 0.010 0.021 0.035 0.075
sd_γ_3 100 0 0.038 0.009 0.023 0.036 0.071
sd_θ 100 0 0.107 0.034 0.053 0.103 0.268
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.042 0.710 8.658 9.920 12.798
α_1 100 0 −1.142 1.940 −7.108 −0.923 3.704
α_2 100 0 −0.494 0.197 −1.028 −0.486 0.054
α_3 100 0 1.019 0.154 0.644 1.032 1.481
γ_0 100 0 1.644 0.807 −1.289 1.664 3.536
γ_1 100 0 3.434 1.190 1.652 3.269 10.445
γ_2 100 0 0.933 0.133 0.587 0.919 1.286
γ_3 100 0 0.928 0.126 0.695 0.933 1.461
θ 100 0 0.027 0.124 0.000 0.000 1.000
sd_α_0 100 0 0.231 0.058 0.118 0.223 0.460
sd_α_1 100 0 1.434 0.289 0.977 1.406 2.339
sd_α_2 100 0 0.148 0.028 0.101 0.145 0.231
sd_α_3 100 0 0.090 0.019 0.052 0.091 0.157
sd_γ_0 100 0 0.494 0.114 0.284 0.480 0.852
sd_γ_1 100 0 1.265 1.410 0.317 0.956 12.443
sd_γ_2 100 0 0.016 0.003 0.011 0.016 0.025
sd_γ_3 100 0 0.018 0.003 0.012 0.018 0.026
sd_θ 100 0 0.049 0.011 0.027 0.048 0.082
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.452 9.236 9.951 11.002
α_1 100 0 −0.901 1.288 −4.009 −0.945 2.563
α_2 100 0 −0.511 0.126 −0.786 −0.517 −0.169
α_3 100 0 0.992 0.093 0.735 0.992 1.356
γ_0 100 0 1.562 0.586 0.130 1.603 3.139
γ_1 100 0 3.372 0.650 1.847 3.321 6.502
γ_2 100 0 0.936 0.094 0.724 0.934 1.200
γ_3 100 0 0.931 0.095 0.745 0.919 1.185
θ 100 0 0.003 0.023 0.000 0.000 0.233
sd_α_0 100 0 0.112 0.019 0.077 0.111 0.158
sd_α_1 100 0 0.686 0.083 0.501 0.686 0.872
sd_α_2 100 0 0.071 0.008 0.053 0.071 0.089
sd_α_3 100 0 0.043 0.006 0.031 0.043 0.059
sd_γ_0 100 0 0.247 0.050 0.166 0.238 0.368
sd_γ_1 100 0 0.489 0.215 0.185 0.446 1.327
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.010
sd_γ_3 100 0 0.009 0.001 0.008 0.009 0.012
sd_θ 100 0 0.024 0.005 0.016 0.024 0.037
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.985 0.190 9.511 9.980 10.607
α_1 100 0 −1.057 0.577 −2.106 −1.106 0.562
α_2 100 0 −0.492 0.063 −0.652 −0.482 −0.370
α_3 100 0 0.997 0.045 0.884 0.996 1.102
γ_0 100 0 1.511 0.314 0.694 1.478 2.500
γ_1 100 0 3.427 0.315 2.612 3.432 4.224
γ_2 100 0 0.942 0.046 0.765 0.942 1.055
γ_3 100 0 0.945 0.043 0.837 0.943 1.052
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.022 0.002 0.017 0.022 0.026
sd_α_1 100 0 0.136 0.008 0.117 0.137 0.161
sd_α_2 100 0 0.014 0.001 0.012 0.014 0.016
sd_α_3 100 0 0.008 0.001 0.007 0.008 0.010
sd_γ_0 100 0 0.049 0.004 0.038 0.048 0.061
sd_γ_1 100 0 0.095 0.015 0.067 0.094 0.155
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.997 0.154 9.672 9.988 10.373
α_1 100 0 −0.951 0.370 −2.276 −0.988 −0.116
α_2 100 0 −0.505 0.040 −0.618 −0.505 −0.409
α_3 100 0 1.001 0.034 0.914 0.997 1.070
γ_0 100 0 1.495 0.204 0.971 1.495 1.889
γ_1 100 0 3.428 0.202 3.029 3.416 3.934
γ_2 100 0 0.946 0.032 0.884 0.945 1.025
γ_3 100 0 0.945 0.034 0.858 0.947 1.022
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.011 0.001 0.010 0.011 0.013
sd_α_1 100 0 0.068 0.003 0.060 0.068 0.076
sd_α_2 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_3 100 0 0.004 0.000 0.004 0.004 0.005
sd_γ_0 100 0 0.025 0.002 0.020 0.025 0.032
sd_γ_1 100 0 0.046 0.005 0.033 0.045 0.062
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.085 9.719 10.004 10.156
α_1 100 0 −1.011 0.213 −1.559 −1.025 −0.549
α_2 100 0 −0.499 0.024 −0.555 −0.501 −0.432
α_3 100 0 0.998 0.019 0.940 0.999 1.048
γ_0 100 0 1.502 0.132 1.097 1.507 1.810
γ_1 100 0 3.420 0.139 3.116 3.413 3.877
γ_2 100 0 0.945 0.020 0.896 0.945 0.987
γ_3 100 0 0.944 0.020 0.894 0.943 1.003
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.004 0.000 0.004 0.004 0.005
sd_α_1 100 0 0.027 0.001 0.025 0.027 0.029
sd_α_2 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.010 0.000 0.009 0.010 0.011
sd_γ_1 100 0 0.018 0.001 0.015 0.018 0.022
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.025 1.054 8.416 9.819 13.799
α_1 100 0 −1.174 4.966 −25.156 −0.825 12.688
α_2 100 0 −0.989 0.588 −2.952 −0.949 0.632
α_3 100 0 1.004 0.258 0.489 0.952 1.923
γ_0 100 0 1.652 1.255 −1.887 1.659 4.969
γ_1 100 0 5.641 3.101 −1.861 5.255 17.332
γ_2 100 0 0.941 0.191 0.570 0.956 1.509
γ_3 100 0 0.924 0.192 0.454 0.930 1.573
θ 100 0 0.052 0.161 0.000 0.000 1.000
sd_α_0 100 0 0.497 0.172 0.234 0.454 1.104
sd_α_1 100 0 5.393 1.844 2.582 4.927 15.288
sd_α_2 100 0 0.565 0.190 0.287 0.518 1.573
sd_α_3 100 0 0.193 0.058 0.108 0.183 0.437
sd_γ_0 100 0 1.041 0.362 0.345 0.978 2.354
sd_γ_1 100 0 5.658 10.855 0.690 3.171 77.280
sd_γ_2 100 0 0.033 0.007 0.020 0.034 0.053
sd_γ_3 100 0 0.037 0.008 0.019 0.037 0.055
sd_θ 100 0 0.103 0.036 0.032 0.095 0.223
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.014 0.683 8.583 9.864 12.234
α_1 100 0 −0.899 2.964 −8.488 −0.718 7.428
α_2 100 0 −1.017 0.314 −2.141 −1.005 −0.322
α_3 100 0 0.993 0.136 0.714 0.979 1.387
γ_0 100 0 1.617 0.767 −0.255 1.509 3.725
γ_1 100 0 5.286 1.507 1.243 5.314 9.577
γ_2 100 0 0.935 0.122 0.623 0.938 1.249
γ_3 100 0 0.929 0.124 0.645 0.920 1.219
θ 100 0 0.004 0.032 0.000 0.000 0.306
sd_α_0 100 0 0.245 0.059 0.162 0.241 0.469
sd_α_1 100 0 2.545 0.472 1.655 2.508 4.125
sd_α_2 100 0 0.265 0.049 0.178 0.265 0.440
sd_α_3 100 0 0.092 0.018 0.060 0.090 0.149
sd_γ_0 100 0 0.473 0.107 0.298 0.454 0.751
sd_γ_1 100 0 1.505 0.683 0.548 1.335 5.216
sd_γ_2 100 0 0.016 0.003 0.012 0.016 0.025
sd_γ_3 100 0 0.019 0.002 0.013 0.018 0.027
sd_θ 100 0 0.046 0.011 0.030 0.044 0.074
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.052 0.488 8.847 10.022 11.306
α_1 100 0 −1.198 2.177 −6.972 −1.367 3.931
α_2 100 0 −0.993 0.241 −1.761 −0.976 −0.512
α_3 100 0 1.016 0.106 0.780 1.002 1.317
γ_0 100 0 1.585 0.567 −0.568 1.617 2.996
γ_1 100 0 5.384 1.091 2.388 5.369 8.574
γ_2 100 0 0.929 0.086 0.727 0.920 1.254
γ_3 100 0 0.936 0.090 0.759 0.932 1.153
θ 100 0 0.001 0.004 0.000 0.000 0.035
sd_α_0 100 0 0.118 0.018 0.083 0.116 0.168
sd_α_1 100 0 1.275 0.153 0.954 1.255 1.661
sd_α_2 100 0 0.133 0.016 0.098 0.131 0.168
sd_α_3 100 0 0.046 0.007 0.032 0.045 0.065
sd_γ_0 100 0 0.240 0.040 0.165 0.236 0.364
sd_γ_1 100 0 0.767 0.233 0.351 0.706 1.722
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.013
sd_θ 100 0 0.024 0.004 0.017 0.023 0.035
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.032 0.204 9.599 10.041 10.669
α_1 100 0 −1.042 0.942 −3.488 −1.059 1.293
α_2 100 0 −1.005 0.111 −1.303 −1.021 −0.657
α_3 100 0 1.004 0.041 0.910 1.006 1.118
γ_0 100 0 1.592 0.281 0.837 1.597 2.387
γ_1 100 0 5.327 0.509 3.741 5.307 6.884
γ_2 100 0 0.932 0.044 0.820 0.930 1.034
γ_3 100 0 0.934 0.033 0.817 0.933 1.016
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.023 0.002 0.020 0.023 0.028
sd_α_1 100 0 0.251 0.014 0.223 0.250 0.301
sd_α_2 100 0 0.026 0.001 0.023 0.026 0.031
sd_α_3 100 0 0.009 0.001 0.008 0.009 0.010
sd_γ_0 100 0 0.048 0.005 0.039 0.048 0.068
sd_γ_1 100 0 0.147 0.022 0.110 0.143 0.210
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.005 0.000 0.004 0.005 0.007
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.032 0.154 9.640 10.025 10.500
α_1 100 0 −1.070 0.659 −2.432 −0.976 0.595
α_2 100 0 −1.003 0.079 −1.191 −1.007 −0.770
α_3 100 0 1.005 0.031 0.933 1.000 1.081
γ_0 100 0 1.598 0.224 1.054 1.600 2.031
γ_1 100 0 5.276 0.412 4.403 5.285 6.237
γ_2 100 0 0.937 0.032 0.873 0.936 1.014
γ_3 100 0 0.933 0.028 0.853 0.932 1.011
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.012 0.001 0.010 0.012 0.013
sd_α_1 100 0 0.125 0.005 0.115 0.125 0.143
sd_α_2 100 0 0.013 0.000 0.012 0.013 0.015
sd_α_3 100 0 0.004 0.000 0.004 0.004 0.005
sd_γ_0 100 0 0.024 0.002 0.020 0.024 0.028
sd_γ_1 100 0 0.073 0.007 0.056 0.073 0.091
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.987 0.095 9.744 9.980 10.205
α_1 100 0 −0.971 0.444 −2.023 −0.945 0.180
α_2 100 0 −0.998 0.049 −1.115 −0.999 −0.888
α_3 100 0 0.996 0.021 0.948 0.993 1.054
γ_0 100 0 1.650 0.119 1.380 1.651 1.960
γ_1 100 0 5.213 0.204 4.717 5.212 5.655
γ_2 100 0 0.927 0.019 0.874 0.927 0.981
γ_3 100 0 0.927 0.019 0.879 0.926 0.980
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_1 100 0 0.049 0.001 0.046 0.049 0.052
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.005
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.008 0.009 0.010
sd_γ_1 100 0 0.028 0.002 0.023 0.028 0.033
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.905 0.857 7.903 9.839 13.046
α_1 100 0 −1.229 19.905 −46.467 1.308 56.477
α_2 100 0 −4.838 2.291 −11.967 −5.057 0.843
α_3 100 0 0.994 0.178 0.653 0.978 1.503
γ_0 100 0 1.736 1.231 −2.783 1.959 3.724
γ_1 100 0 21.159 12.021 1.652 18.134 71.707
γ_2 100 0 0.925 0.198 0.593 0.908 1.569
γ_3 100 0 0.925 0.205 0.589 0.911 1.839
θ 100 0 0.040 0.161 0.000 0.000 1.000
sd_α_0 100 0 0.505 0.148 0.197 0.480 1.114
sd_α_1 100 0 24.399 5.854 11.914 23.205 39.888
sd_α_2 100 0 2.558 0.595 1.246 2.431 4.131
sd_α_3 100 0 0.198 0.051 0.093 0.192 0.354
sd_γ_0 100 0 0.984 0.395 0.507 0.906 3.530
sd_γ_1 100 0 24.972 50.724 2.092 11.082 328.708
sd_γ_2 100 0 0.034 0.008 0.018 0.033 0.056
sd_γ_3 100 0 0.038 0.009 0.022 0.037 0.080
sd_θ 100 0 0.096 0.040 0.041 0.087 0.342
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.060 0.675 8.425 10.004 12.044
α_1 100 0 −0.282 13.587 −43.051 1.095 33.200
α_2 100 0 −5.147 1.474 −9.030 −5.129 −0.676
α_3 100 0 0.999 0.156 0.745 0.993 1.553
γ_0 100 0 1.711 0.878 −0.954 1.778 3.957
γ_1 100 0 20.711 7.310 1.304 20.539 47.677
γ_2 100 0 0.916 0.138 0.604 0.908 1.263
γ_3 100 0 0.918 0.135 0.640 0.923 1.326
θ 100 0 0.004 0.023 0.000 0.000 0.152
sd_α_0 100 0 0.256 0.056 0.151 0.247 0.464
sd_α_1 100 0 12.176 2.105 7.830 12.248 19.953
sd_α_2 100 0 1.278 0.211 0.801 1.307 2.027
sd_α_3 100 0 0.098 0.019 0.058 0.097 0.183
sd_γ_0 100 0 0.487 0.114 0.237 0.480 0.947
sd_γ_1 100 0 6.846 5.135 2.408 5.725 47.995
sd_γ_2 100 0 0.016 0.003 0.010 0.016 0.021
sd_γ_3 100 0 0.018 0.003 0.013 0.018 0.025
sd_θ 100 0 0.048 0.011 0.025 0.048 0.091
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.960 0.473 8.789 9.966 11.243
α_1 100 0 0.095 9.647 −20.684 −0.279 19.686
α_2 100 0 −5.058 1.106 −8.631 −4.852 −2.841
α_3 100 0 0.994 0.114 0.770 0.985 1.251
γ_0 100 0 1.769 0.629 0.246 1.755 3.417
γ_1 100 0 19.807 5.174 5.776 19.613 35.371
γ_2 100 0 0.912 0.097 0.703 0.925 1.145
γ_3 100 0 0.914 0.109 0.696 0.911 1.119
θ 100 0 0.000 0.000 0.000 0.000 0.005
sd_α_0 100 0 0.122 0.019 0.081 0.120 0.178
sd_α_1 100 0 5.684 0.755 3.995 5.614 8.597
sd_α_2 100 0 0.600 0.076 0.437 0.589 0.889
sd_α_3 100 0 0.047 0.006 0.030 0.046 0.066
sd_γ_0 100 0 0.232 0.046 0.148 0.227 0.359
sd_γ_1 100 0 2.870 0.942 1.316 2.600 6.565
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.006 0.009 0.012
sd_θ 100 0 0.023 0.004 0.015 0.022 0.035
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.184 9.555 10.003 10.435
α_1 100 0 −1.571 3.895 −10.478 −1.534 7.121
α_2 100 0 −4.965 0.453 −5.792 −4.948 −3.772
α_3 100 0 1.003 0.043 0.913 1.002 1.110
γ_0 100 0 1.794 0.248 1.049 1.807 2.348
γ_1 100 0 19.531 2.090 15.219 19.441 24.900
γ_2 100 0 0.912 0.037 0.812 0.914 1.031
γ_3 100 0 0.907 0.040 0.807 0.906 1.016
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.024 0.002 0.021 0.024 0.028
sd_α_1 100 0 1.157 0.062 1.005 1.157 1.329
sd_α_2 100 0 0.121 0.006 0.105 0.122 0.139
sd_α_3 100 0 0.009 0.000 0.008 0.009 0.011
sd_γ_0 100 0 0.046 0.004 0.035 0.046 0.057
sd_γ_1 100 0 0.569 0.074 0.419 0.565 0.818
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.004 0.000 0.003 0.004 0.006
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.139 9.680 10.007 10.451
α_1 100 0 −1.166 2.547 −6.745 −0.902 3.731
α_2 100 0 −4.994 0.341 −5.811 −5.031 −4.223
α_3 100 0 1.004 0.034 0.927 1.005 1.089
γ_0 100 0 1.788 0.159 1.420 1.794 2.216
γ_1 100 0 19.520 1.361 15.914 19.542 22.684
γ_2 100 0 0.912 0.024 0.847 0.912 0.972
γ_3 100 0 0.911 0.026 0.834 0.911 0.974
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.012 0.001 0.011 0.012 0.013
sd_α_1 100 0 0.576 0.022 0.525 0.577 0.655
sd_α_2 100 0 0.061 0.002 0.056 0.061 0.068
sd_α_3 100 0 0.005 0.000 0.004 0.005 0.005
sd_γ_0 100 0 0.023 0.002 0.020 0.023 0.029
sd_γ_1 100 0 0.284 0.029 0.232 0.277 0.363
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.002 0.002 0.003
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.085 9.800 10.005 10.220
α_1 100 0 −0.678 1.526 −3.926 −0.854 2.974
α_2 100 0 −5.032 0.195 −5.640 −5.025 −4.544
α_3 100 0 0.998 0.018 0.954 1.001 1.045
γ_0 100 0 1.758 0.117 1.559 1.761 1.991
γ_1 100 0 19.785 0.911 17.854 19.753 21.498
γ_2 100 0 0.916 0.019 0.876 0.912 0.965
γ_3 100 0 0.915 0.015 0.883 0.915 0.958
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_1 100 0 0.229 0.005 0.216 0.229 0.242
sd_α_2 100 0 0.024 0.001 0.023 0.024 0.025
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.009 0.009 0.012
sd_γ_1 100 0 0.114 0.007 0.099 0.113 0.152
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.952 1.012 8.115 9.864 13.583
α_1 100 0 6.081 81.140 −224.524 5.806 175.858
α_2 100 0 −20.447 8.570 −39.275 −20.765 2.178
α_3 100 0 0.966 0.235 0.550 0.939 1.762
γ_0 100 0 2.037 1.249 −1.759 2.097 4.793
γ_1 100 0 70.722 45.111 −25.119 63.736 221.207
γ_2 100 0 0.883 0.178 0.443 0.907 1.332
γ_3 100 0 0.902 0.195 0.501 0.921 1.626
θ 100 0 0.018 0.080 0.000 0.000 0.650
sd_α_0 100 0 0.515 0.174 0.268 0.479 1.145
sd_α_1 100 0 95.993 29.807 34.877 90.966 221.711
sd_α_2 100 0 10.113 2.948 4.032 9.778 22.723
sd_α_3 100 0 0.201 0.057 0.103 0.195 0.365
sd_γ_0 100 0 0.946 0.384 0.304 0.884 2.741
sd_γ_1 100 0 115.133 575.300 10.890 39.217 5750.505
sd_γ_2 100 0 0.033 0.009 0.017 0.031 0.059
sd_γ_3 100 0 0.037 0.007 0.021 0.037 0.058
sd_θ 100 0 0.093 0.038 0.032 0.086 0.279
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.919 0.624 8.551 9.892 12.815
α_1 100 0 −3.180 50.544 −130.740 −3.688 105.249
α_2 100 0 −19.360 6.359 −43.643 −18.479 −5.189
α_3 100 0 1.000 0.152 0.649 0.982 1.449
γ_0 100 0 1.949 0.634 0.262 2.012 3.289
γ_1 100 0 70.356 20.844 31.972 69.211 132.235
γ_2 100 0 0.893 0.108 0.653 0.885 1.166
γ_3 100 0 0.895 0.116 0.623 0.887 1.177
θ 100 0 0.003 0.018 0.000 0.000 0.114
sd_α_0 100 0 0.245 0.050 0.142 0.245 0.431
sd_α_1 100 0 45.581 7.687 25.533 44.948 64.941
sd_α_2 100 0 4.804 0.811 2.794 4.704 7.506
sd_α_3 100 0 0.097 0.018 0.063 0.097 0.152
sd_γ_0 100 0 0.469 0.112 0.239 0.460 0.745
sd_γ_1 100 0 24.564 12.528 7.959 21.181 106.541
sd_γ_2 100 0 0.015 0.002 0.010 0.016 0.022
sd_γ_3 100 0 0.018 0.002 0.013 0.018 0.024
sd_θ 100 0 0.046 0.011 0.021 0.045 0.074
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.013 0.473 8.633 9.987 11.164
α_1 100 0 −0.905 38.348 −71.531 −7.208 127.127
α_2 100 0 −20.126 4.806 −38.683 −19.467 −9.769
α_3 100 0 1.013 0.100 0.800 1.018 1.314
γ_0 100 0 1.834 0.538 0.617 1.871 2.988
γ_1 100 0 73.856 16.986 29.707 74.943 116.611
γ_2 100 0 0.900 0.090 0.699 0.897 1.147
γ_3 100 0 0.908 0.091 0.692 0.912 1.126
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.125 0.019 0.083 0.125 0.178
sd_α_1 100 0 23.095 3.018 16.026 22.866 30.891
sd_α_2 100 0 2.432 0.308 1.639 2.416 3.315
sd_α_3 100 0 0.048 0.006 0.032 0.047 0.065
sd_γ_0 100 0 0.229 0.044 0.136 0.224 0.364
sd_γ_1 100 0 11.381 4.145 5.600 10.507 28.762
sd_γ_2 100 0 0.008 0.001 0.006 0.008 0.011
sd_γ_3 100 0 0.009 0.001 0.007 0.009 0.012
sd_θ 100 0 0.022 0.004 0.014 0.022 0.035
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.192 9.555 9.974 10.513
α_1 100 0 −2.092 14.772 −45.123 −3.266 39.193
α_2 100 0 −19.835 1.710 −23.925 −19.769 −14.689
α_3 100 0 1.002 0.042 0.916 0.996 1.100
γ_0 100 0 1.798 0.255 1.143 1.817 2.601
γ_1 100 0 74.040 7.781 51.852 74.196 95.746
γ_2 100 0 0.910 0.039 0.814 0.908 1.004
γ_3 100 0 0.917 0.044 0.838 0.911 1.021
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.024 0.002 0.021 0.024 0.027
sd_α_1 100 0 4.504 0.237 4.048 4.455 5.127
sd_α_2 100 0 0.474 0.024 0.424 0.472 0.532
sd_α_3 100 0 0.009 0.000 0.008 0.009 0.011
sd_γ_0 100 0 0.046 0.004 0.038 0.045 0.054
sd_γ_1 100 0 2.168 0.279 1.639 2.118 3.066
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.004 0.000 0.004 0.004 0.005
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.192 9.555 9.974 10.513
α_1 100 0 −2.092 14.772 −45.123 −3.266 39.193
α_2 100 0 −19.835 1.710 −23.925 −19.769 −14.689
α_3 100 0 1.002 0.042 0.916 0.996 1.100
γ_0 100 0 1.798 0.255 1.143 1.817 2.601
γ_1 100 0 74.040 7.781 51.852 74.196 95.746
γ_2 100 0 0.910 0.039 0.814 0.908 1.004
γ_3 100 0 0.917 0.044 0.838 0.911 1.021
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.024 0.002 0.021 0.024 0.027
sd_α_1 100 0 4.504 0.237 4.048 4.455 5.127
sd_α_2 100 0 0.474 0.024 0.424 0.472 0.532
sd_α_3 100 0 0.009 0.000 0.008 0.009 0.011
sd_γ_0 100 0 0.046 0.004 0.038 0.045 0.054
sd_γ_1 100 0 2.168 0.279 1.639 2.118 3.066
sd_γ_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_γ_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_θ 100 0 0.004 0.000 0.004 0.004 0.005
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.089 9.789 10.003 10.203
α_1 100 0 −0.465 6.336 −15.995 −0.529 19.340
α_2 100 0 −20.081 0.789 −22.977 −20.126 −18.157
α_3 100 0 1.002 0.019 0.961 1.000 1.045
γ_0 100 0 1.821 0.099 1.551 1.814 2.048
γ_1 100 0 73.062 3.105 65.048 73.073 81.384
γ_2 100 0 0.909 0.016 0.862 0.910 0.942
γ_3 100 0 0.908 0.017 0.859 0.908 0.943
θ 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_0 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_1 100 0 0.902 0.019 0.838 0.904 0.940
sd_α_2 100 0 0.095 0.002 0.089 0.095 0.100
sd_α_3 100 0 0.002 0.000 0.002 0.002 0.002
sd_γ_0 100 0 0.009 0.000 0.008 0.009 0.010
sd_γ_1 100 0 0.432 0.024 0.372 0.432 0.484
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

Plot

iv_optimal

iv_optimal relative to benchmark

50 100 200 1000 2000 5000 10000